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Finding the Fourth Proportional to 17,648.30, 24,355.07 and 9,582.29

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Solution

The fourth proportional to 17,648.30, 24,355.07 and 9,582.29 is: 13,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.30 : 24,355.07 = 9,582.29 : x
  2. Step 2: Convert to fraction form
    17,648.30/24,355.07 = 9,582.29/x
  3. Step 3: Cross multiply
    17,648.30x = 24,355.07 × 9,582.29
  4. Step 4: Simplify right side
    17,648.30x = 233,377,428.55
  5. Step 5: Solve for x
    x = 233,377,428.55/17,648.30
  6. Step 6: Final answer
    x = 13,223.79

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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.