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Finding the Fourth Proportional to 21,597.66, 32,371.79 and 9,098.96

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Solution

The fourth proportional to 21,597.66, 32,371.79 and 9,098.96 is: 13,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597.66 : 32,371.79 = 9,098.96 : x
  2. Step 2: Convert to fraction form
    21,597.66/32,371.79 = 9,098.96/x
  3. Step 3: Cross multiply
    21,597.66x = 32,371.79 × 9,098.96
  4. Step 4: Simplify right side
    21,597.66x = 294,549,414.98
  5. Step 5: Solve for x
    x = 294,549,414.98/21,597.66
  6. Step 6: Final answer
    x = 13,638.02

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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.