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Finding the Fourth Proportional to 21,508.38, 32,266.35 and 9,822.78

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Solution

The fourth proportional to 21,508.38, 32,266.35 and 9,822.78 is: 14,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,508.38 : 32,266.35 = 9,822.78 : x
  2. Step 2: Convert to fraction form
    21,508.38/32,266.35 = 9,822.78/x
  3. Step 3: Cross multiply
    21,508.38x = 32,266.35 × 9,822.78
  4. Step 4: Simplify right side
    21,508.38x = 316,945,257.45
  5. Step 5: Solve for x
    x = 316,945,257.45/21,508.38
  6. Step 6: Final answer
    x = 14,735.90

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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.