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Finding the Fourth Proportional to 15,895.38, 21,915.90 and 10,578.54

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Solution

The fourth proportional to 15,895.38, 21,915.90 and 10,578.54 is: 14,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,895.38 : 21,915.90 = 10,578.54 : x
  2. Step 2: Convert to fraction form
    15,895.38/21,915.90 = 10,578.54/x
  3. Step 3: Cross multiply
    15,895.38x = 21,915.90 × 10,578.54
  4. Step 4: Simplify right side
    15,895.38x = 231,838,224.79
  5. Step 5: Solve for x
    x = 231,838,224.79/15,895.38
  6. Step 6: Final answer
    x = 14,585.26

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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.