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Finding the Fourth Proportional to 17,641.44, 24,345.36 and 9,575.17

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Solution

The fourth proportional to 17,641.44, 24,345.36 and 9,575.17 is: 13,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.44 : 24,345.36 = 9,575.17 : x
  2. Step 2: Convert to fraction form
    17,641.44/24,345.36 = 9,575.17/x
  3. Step 3: Cross multiply
    17,641.44x = 24,345.36 × 9,575.17
  4. Step 4: Simplify right side
    17,641.44x = 233,110,899.85
  5. Step 5: Solve for x
    x = 233,110,899.85/17,641.44
  6. Step 6: Final answer
    x = 13,213.82

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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.