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Finding the Fourth Proportional to 23,189.64, 32,000.82 and 12,578.90

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Solution

The fourth proportional to 23,189.64, 32,000.82 and 12,578.90 is: 17,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.64 : 32,000.82 = 12,578.90 : x
  2. Step 2: Convert to fraction form
    23,189.64/32,000.82 = 12,578.90/x
  3. Step 3: Cross multiply
    23,189.64x = 32,000.82 × 12,578.90
  4. Step 4: Simplify right side
    23,189.64x = 402,535,114.70
  5. Step 5: Solve for x
    x = 402,535,114.70/23,189.64
  6. Step 6: Final answer
    x = 17,358.40

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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.