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Finding the Fourth Proportional to 17,575.63, 24,254.37 and 9,617.85

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Solution

The fourth proportional to 17,575.63, 24,254.37 and 9,617.85 is: 13,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,575.63 : 24,254.37 = 9,617.85 : x
  2. Step 2: Convert to fraction form
    17,575.63/24,254.37 = 9,617.85/x
  3. Step 3: Cross multiply
    17,575.63x = 24,254.37 × 9,617.85
  4. Step 4: Simplify right side
    17,575.63x = 233,274,929.10
  5. Step 5: Solve for x
    x = 233,274,929.10/17,575.63
  6. Step 6: Final answer
    x = 13,272.64

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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.