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Finding the Fourth Proportional to 17,452.16, 24,089.12 and 10,648.64

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Solution

The fourth proportional to 17,452.16, 24,089.12 and 10,648.64 is: 14,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,452.16 : 24,089.12 = 10,648.64 : x
  2. Step 2: Convert to fraction form
    17,452.16/24,089.12 = 10,648.64/x
  3. Step 3: Cross multiply
    17,452.16x = 24,089.12 × 10,648.64
  4. Step 4: Simplify right side
    17,452.16x = 256,516,366.80
  5. Step 5: Solve for x
    x = 256,516,366.80/17,452.16
  6. Step 6: Final answer
    x = 14,698.26

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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.