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Finding the Fourth Proportional to 15,856.30, 21,881.64 and 9,141.89

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Solution

The fourth proportional to 15,856.30, 21,881.64 and 9,141.89 is: 12,615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.30 : 21,881.64 = 9,141.89 : x
  2. Step 2: Convert to fraction form
    15,856.30/21,881.64 = 9,141.89/x
  3. Step 3: Cross multiply
    15,856.30x = 21,881.64 × 9,141.89
  4. Step 4: Simplify right side
    15,856.30x = 200,039,545.90
  5. Step 5: Solve for x
    x = 200,039,545.90/15,856.30
  6. Step 6: Final answer
    x = 12,615.78

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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.