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Finding the Fourth Proportional to 16,566.88, 22,862.29 and 9,114.88

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Solution

The fourth proportional to 16,566.88, 22,862.29 and 9,114.88 is: 12,578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.88 : 22,862.29 = 9,114.88 : x
  2. Step 2: Convert to fraction form
    16,566.88/22,862.29 = 9,114.88/x
  3. Step 3: Cross multiply
    16,566.88x = 22,862.29 × 9,114.88
  4. Step 4: Simplify right side
    16,566.88x = 208,386,915.56
  5. Step 5: Solve for x
    x = 208,386,915.56/16,566.88
  6. Step 6: Final answer
    x = 12,578.53

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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.