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Finding the Fourth Proportional to 17,648.25, 24,355.02 and 9,582.24

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Solution

The fourth proportional to 17,648.25, 24,355.02 and 9,582.24 is: 13,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.25 : 24,355.02 = 9,582.24 : x
  2. Step 2: Convert to fraction form
    17,648.25/24,355.02 = 9,582.24/x
  3. Step 3: Cross multiply
    17,648.25x = 24,355.02 × 9,582.24
  4. Step 4: Simplify right side
    17,648.25x = 233,375,646.84
  5. Step 5: Solve for x
    x = 233,375,646.84/17,648.25
  6. Step 6: Final answer
    x = 13,223.73

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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.