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Finding the Fourth Proportional to 16,605.90, 22,915.71 and 9,052.38

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Solution

The fourth proportional to 16,605.90, 22,915.71 and 9,052.38 is: 12,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,605.90 : 22,915.71 = 9,052.38 : x
  2. Step 2: Convert to fraction form
    16,605.90/22,915.71 = 9,052.38/x
  3. Step 3: Cross multiply
    16,605.90x = 22,915.71 × 9,052.38
  4. Step 4: Simplify right side
    16,605.90x = 207,441,714.89
  5. Step 5: Solve for x
    x = 207,441,714.89/16,605.90
  6. Step 6: Final answer
    x = 12,492.05

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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.