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Finding the Fourth Proportional to 16,580.90, 22,874.15 and 9,862.86

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Solution

The fourth proportional to 16,580.90, 22,874.15 and 9,862.86 is: 13,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.90 : 22,874.15 = 9,862.86 : x
  2. Step 2: Convert to fraction form
    16,580.90/22,874.15 = 9,862.86/x
  3. Step 3: Cross multiply
    16,580.90x = 22,874.15 × 9,862.86
  4. Step 4: Simplify right side
    16,580.90x = 225,604,594.03
  5. Step 5: Solve for x
    x = 225,604,594.03/16,580.90
  6. Step 6: Final answer
    x = 13,606.29

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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.