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Finding the Fourth Proportional to 16,580.34, 22,874.13 and 9,505.80

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Solution

The fourth proportional to 16,580.34, 22,874.13 and 9,505.80 is: 13,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.34 : 22,874.13 = 9,505.80 : x
  2. Step 2: Convert to fraction form
    16,580.34/22,874.13 = 9,505.80/x
  3. Step 3: Cross multiply
    16,580.34x = 22,874.13 × 9,505.80
  4. Step 4: Simplify right side
    16,580.34x = 217,436,904.95
  5. Step 5: Solve for x
    x = 217,436,904.95/16,580.34
  6. Step 6: Final answer
    x = 13,114.14

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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.