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Finding the Fourth Proportional to 17,534.91, 24,197.28 and 9,575.64

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Solution

The fourth proportional to 17,534.91, 24,197.28 and 9,575.64 is: 13,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.91 : 24,197.28 = 9,575.64 : x
  2. Step 2: Convert to fraction form
    17,534.91/24,197.28 = 9,575.64/x
  3. Step 3: Cross multiply
    17,534.91x = 24,197.28 × 9,575.64
  4. Step 4: Simplify right side
    17,534.91x = 231,704,442.26
  5. Step 5: Solve for x
    x = 231,704,442.26/17,534.91
  6. Step 6: Final answer
    x = 13,213.89

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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.