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Finding the Fourth Proportional to 16,607, 22,915.83 and 9,891.71

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Solution

The fourth proportional to 16,607, 22,915.83 and 9,891.71 is: 13,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,607 : 22,915.83 = 9,891.71 : x
  2. Step 2: Convert to fraction form
    16,607/22,915.83 = 9,891.71/x
  3. Step 3: Cross multiply
    16,607x = 22,915.83 × 9,891.71
  4. Step 4: Simplify right side
    16,607x = 226,676,744.77
  5. Step 5: Solve for x
    x = 226,676,744.77/16,607
  6. Step 6: Final answer
    x = 13,649.47

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