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Finding the Fourth Proportional to 16,083.12, 22,195.88 and 9,711.26

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Solution

The fourth proportional to 16,083.12, 22,195.88 and 9,711.26 is: 13,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.12 : 22,195.88 = 9,711.26 : x
  2. Step 2: Convert to fraction form
    16,083.12/22,195.88 = 9,711.26/x
  3. Step 3: Cross multiply
    16,083.12x = 22,195.88 × 9,711.26
  4. Step 4: Simplify right side
    16,083.12x = 215,549,961.61
  5. Step 5: Solve for x
    x = 215,549,961.61/16,083.12
  6. Step 6: Final answer
    x = 13,402.25

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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.