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Finding the Fourth Proportional to 17,582.43, 24,263.78 and 9,625.16

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Solution

The fourth proportional to 17,582.43, 24,263.78 and 9,625.16 is: 13,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.43 : 24,263.78 = 9,625.16 : x
  2. Step 2: Convert to fraction form
    17,582.43/24,263.78 = 9,625.16/x
  3. Step 3: Cross multiply
    17,582.43x = 24,263.78 × 9,625.16
  4. Step 4: Simplify right side
    17,582.43x = 233,542,764.70
  5. Step 5: Solve for x
    x = 233,542,764.70/17,582.43
  6. Step 6: Final answer
    x = 13,282.74

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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.