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Finding the Fourth Proportional to 17,582.92, 24,264.72 and 9,625.90

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Solution

The fourth proportional to 17,582.92, 24,264.72 and 9,625.90 is: 13,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.92 : 24,264.72 = 9,625.90 : x
  2. Step 2: Convert to fraction form
    17,582.92/24,264.72 = 9,625.90/x
  3. Step 3: Cross multiply
    17,582.92x = 24,264.72 × 9,625.90
  4. Step 4: Simplify right side
    17,582.92x = 233,569,768.25
  5. Step 5: Solve for x
    x = 233,569,768.25/17,582.92
  6. Step 6: Final answer
    x = 13,283.90

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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.