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Finding the Fourth Proportional to 21,665.32, 32,491.40 and 9,185.12

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Solution

The fourth proportional to 21,665.32, 32,491.40 and 9,185.12 is: 13,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.32 : 32,491.40 = 9,185.12 : x
  2. Step 2: Convert to fraction form
    21,665.32/32,491.40 = 9,185.12/x
  3. Step 3: Cross multiply
    21,665.32x = 32,491.40 × 9,185.12
  4. Step 4: Simplify right side
    21,665.32x = 298,437,407.97
  5. Step 5: Solve for x
    x = 298,437,407.97/21,665.32
  6. Step 6: Final answer
    x = 13,774.89

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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.