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Finding the Fourth Proportional to 17,432.64, 26,148.96 and 5,744.16

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Solution

The fourth proportional to 17,432.64, 26,148.96 and 5,744.16 is: 8,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,432.64 : 26,148.96 = 5,744.16 : x
  2. Step 2: Convert to fraction form
    17,432.64/26,148.96 = 5,744.16/x
  3. Step 3: Cross multiply
    17,432.64x = 26,148.96 × 5,744.16
  4. Step 4: Simplify right side
    17,432.64x = 150,203,810.07
  5. Step 5: Solve for x
    x = 150,203,810.07/17,432.64
  6. Step 6: Final answer
    x = 8,616.24

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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.