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Finding the Fourth Proportional to 16,344.32, 24,516 and 5,251.52

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Solution

The fourth proportional to 16,344.32, 24,516 and 5,251.52 is: 7,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.32 : 24,516 = 5,251.52 : x
  2. Step 2: Convert to fraction form
    16,344.32/24,516 = 5,251.52/x
  3. Step 3: Cross multiply
    16,344.32x = 24,516 × 5,251.52
  4. Step 4: Simplify right side
    16,344.32x = 128,746,264.32
  5. Step 5: Solve for x
    x = 128,746,264.32/16,344.32
  6. Step 6: Final answer
    x = 7,877.13

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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.