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Finding the Fourth Proportional to 17,575.42, 24,254.14 and 9,617.62

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Solution

The fourth proportional to 17,575.42, 24,254.14 and 9,617.62 is: 13,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,575.42 : 24,254.14 = 9,617.62 : x
  2. Step 2: Convert to fraction form
    17,575.42/24,254.14 = 9,617.62/x
  3. Step 3: Cross multiply
    17,575.42x = 24,254.14 × 9,617.62
  4. Step 4: Simplify right side
    17,575.42x = 233,267,101.95
  5. Step 5: Solve for x
    x = 233,267,101.95/17,575.42
  6. Step 6: Final answer
    x = 13,272.35

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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.