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Finding the Fourth Proportional to 23,494.52, 32,422.90 and 12,884.17

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Solution

The fourth proportional to 23,494.52, 32,422.90 and 12,884.17 is: 17,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.52 : 32,422.90 = 12,884.17 : x
  2. Step 2: Convert to fraction form
    23,494.52/32,422.90 = 12,884.17/x
  3. Step 3: Cross multiply
    23,494.52x = 32,422.90 × 12,884.17
  4. Step 4: Simplify right side
    23,494.52x = 417,742,155.49
  5. Step 5: Solve for x
    x = 417,742,155.49/23,494.52
  6. Step 6: Final answer
    x = 17,780.41

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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.