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Finding the Fourth Proportional to 12,007.32, 18,008.92 and 5,432

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Solution

The fourth proportional to 12,007.32, 18,008.92 and 5,432 is: 8,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.32 : 18,008.92 = 5,432 : x
  2. Step 2: Convert to fraction form
    12,007.32/18,008.92 = 5,432/x
  3. Step 3: Cross multiply
    12,007.32x = 18,008.92 × 5,432
  4. Step 4: Simplify right side
    12,007.32x = 97,824,453.44
  5. Step 5: Solve for x
    x = 97,824,453.44/12,007.32
  6. Step 6: Final answer
    x = 8,147.07

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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.