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Finding the Fourth Proportional to 20,097.80, 30,146.70 and 13,099.40

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Solution

The fourth proportional to 20,097.80, 30,146.70 and 13,099.40 is: 19,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.80 : 30,146.70 = 13,099.40 : x
  2. Step 2: Convert to fraction form
    20,097.80/30,146.70 = 13,099.40/x
  3. Step 3: Cross multiply
    20,097.80x = 30,146.70 × 13,099.40
  4. Step 4: Simplify right side
    20,097.80x = 394,903,681.98
  5. Step 5: Solve for x
    x = 394,903,681.98/20,097.80
  6. Step 6: Final answer
    x = 19,649.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.