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Finding the Fourth Proportional to 21,182.84, 31,774.48 and 6,391.88

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Solution

The fourth proportional to 21,182.84, 31,774.48 and 6,391.88 is: 9,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182.84 : 31,774.48 = 6,391.88 : x
  2. Step 2: Convert to fraction form
    21,182.84/31,774.48 = 6,391.88/x
  3. Step 3: Cross multiply
    21,182.84x = 31,774.48 × 6,391.88
  4. Step 4: Simplify right side
    21,182.84x = 203,098,726.68
  5. Step 5: Solve for x
    x = 203,098,726.68/21,182.84
  6. Step 6: Final answer
    x = 9,587.89

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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.