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Finding the Fourth Proportional to 15,876.29, 21,909.11 and 9,161.84

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Solution

The fourth proportional to 15,876.29, 21,909.11 and 9,161.84 is: 12,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.29 : 21,909.11 = 9,161.84 : x
  2. Step 2: Convert to fraction form
    15,876.29/21,909.11 = 9,161.84/x
  3. Step 3: Cross multiply
    15,876.29x = 21,909.11 × 9,161.84
  4. Step 4: Simplify right side
    15,876.29x = 200,727,605.01
  5. Step 5: Solve for x
    x = 200,727,605.01/15,876.29
  6. Step 6: Final answer
    x = 12,643.24

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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.