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Finding the Fourth Proportional to 17,538.10, 24,177.40 and 10,819.20

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Solution

The fourth proportional to 17,538.10, 24,177.40 and 10,819.20 is: 14,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.10 : 24,177.40 = 10,819.20 : x
  2. Step 2: Convert to fraction form
    17,538.10/24,177.40 = 10,819.20/x
  3. Step 3: Cross multiply
    17,538.10x = 24,177.40 × 10,819.20
  4. Step 4: Simplify right side
    17,538.10x = 261,580,126.08
  5. Step 5: Solve for x
    x = 261,580,126.08/17,538.10
  6. Step 6: Final answer
    x = 14,914.96

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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.