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Finding the Fourth Proportional to 21,242.88, 31,864.32 and 6,451.92

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Solution

The fourth proportional to 21,242.88, 31,864.32 and 6,451.92 is: 9,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242.88 : 31,864.32 = 6,451.92 : x
  2. Step 2: Convert to fraction form
    21,242.88/31,864.32 = 6,451.92/x
  3. Step 3: Cross multiply
    21,242.88x = 31,864.32 × 6,451.92
  4. Step 4: Simplify right side
    21,242.88x = 205,586,043.49
  5. Step 5: Solve for x
    x = 205,586,043.49/21,242.88
  6. Step 6: Final answer
    x = 9,677.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.