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Finding the Fourth Proportional to 15,124.40, 20,871.20 and 9,530

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Solution

The fourth proportional to 15,124.40, 20,871.20 and 9,530 is: 13,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,124.40 : 20,871.20 = 9,530 : x
  2. Step 2: Convert to fraction form
    15,124.40/20,871.20 = 9,530/x
  3. Step 3: Cross multiply
    15,124.40x = 20,871.20 × 9,530
  4. Step 4: Simplify right side
    15,124.40x = 198,902,536
  5. Step 5: Solve for x
    x = 198,902,536/15,124.40
  6. Step 6: Final answer
    x = 13,151.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.