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Finding the Fourth Proportional to 17,535.60, 24,181.20 and 13,752

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Solution

The fourth proportional to 17,535.60, 24,181.20 and 13,752 is: 18,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.60 : 24,181.20 = 13,752 : x
  2. Step 2: Convert to fraction form
    17,535.60/24,181.20 = 13,752/x
  3. Step 3: Cross multiply
    17,535.60x = 24,181.20 × 13,752
  4. Step 4: Simplify right side
    17,535.60x = 332,539,862.40
  5. Step 5: Solve for x
    x = 332,539,862.40/17,535.60
  6. Step 6: Final answer
    x = 18,963.70

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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.