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Finding the Fourth Proportional to 16,523, 22,801.90 and 9,071.16

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Solution

The fourth proportional to 16,523, 22,801.90 and 9,071.16 is: 12,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523 : 22,801.90 = 9,071.16 : x
  2. Step 2: Convert to fraction form
    16,523/22,801.90 = 9,071.16/x
  3. Step 3: Cross multiply
    16,523x = 22,801.90 × 9,071.16
  4. Step 4: Simplify right side
    16,523x = 206,839,683.20
  5. Step 5: Solve for x
    x = 206,839,683.20/16,523
  6. Step 6: Final answer
    x = 12,518.29

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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.