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Finding the Fourth Proportional to 12,065.20, 18,097.80 and 4,274.80

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Solution

The fourth proportional to 12,065.20, 18,097.80 and 4,274.80 is: 6,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065.20 : 18,097.80 = 4,274.80 : x
  2. Step 2: Convert to fraction form
    12,065.20/18,097.80 = 4,274.80/x
  3. Step 3: Cross multiply
    12,065.20x = 18,097.80 × 4,274.80
  4. Step 4: Simplify right side
    12,065.20x = 77,364,475.44
  5. Step 5: Solve for x
    x = 77,364,475.44/12,065.20
  6. Step 6: Final answer
    x = 6,412.20

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