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Finding the Fourth Proportional to 23,491.82, 32,420.35 and 12,882.14

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Solution

The fourth proportional to 23,491.82, 32,420.35 and 12,882.14 is: 17,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,491.82 : 32,420.35 = 12,882.14 : x
  2. Step 2: Convert to fraction form
    23,491.82/32,420.35 = 12,882.14/x
  3. Step 3: Cross multiply
    23,491.82x = 32,420.35 × 12,882.14
  4. Step 4: Simplify right side
    23,491.82x = 417,643,463.13
  5. Step 5: Solve for x
    x = 417,643,463.13/23,491.82
  6. Step 6: Final answer
    x = 17,778.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.