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Finding the Fourth Proportional to 25,328, 34,952.16 and 14,717.68

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Solution

The fourth proportional to 25,328, 34,952.16 and 14,717.68 is: 20,310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,328 : 34,952.16 = 14,717.68 : x
  2. Step 2: Convert to fraction form
    25,328/34,952.16 = 14,717.68/x
  3. Step 3: Cross multiply
    25,328x = 34,952.16 × 14,717.68
  4. Step 4: Simplify right side
    25,328x = 514,414,706.19
  5. Step 5: Solve for x
    x = 514,414,706.19/25,328
  6. Step 6: Final answer
    x = 20,310.12

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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.