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Finding the Fourth Proportional to 13,206.42, 19,672.02 and 12,505.20

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Solution

The fourth proportional to 13,206.42, 19,672.02 and 12,505.20 is: 18,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.42 : 19,672.02 = 12,505.20 : x
  2. Step 2: Convert to fraction form
    13,206.42/19,672.02 = 12,505.20/x
  3. Step 3: Cross multiply
    13,206.42x = 19,672.02 × 12,505.20
  4. Step 4: Simplify right side
    13,206.42x = 246,002,544.50
  5. Step 5: Solve for x
    x = 246,002,544.50/13,206.42
  6. Step 6: Final answer
    x = 18,627.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.