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Finding the Fourth Proportional to 17,582.97, 24,265.07 and 9,625.19

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Solution

The fourth proportional to 17,582.97, 24,265.07 and 9,625.19 is: 13,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.97 : 24,265.07 = 9,625.19 : x
  2. Step 2: Convert to fraction form
    17,582.97/24,265.07 = 9,625.19/x
  3. Step 3: Cross multiply
    17,582.97x = 24,265.07 × 9,625.19
  4. Step 4: Simplify right side
    17,582.97x = 233,555,800.32
  5. Step 5: Solve for x
    x = 233,555,800.32/17,582.97
  6. Step 6: Final answer
    x = 13,283.07

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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.