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Finding the Fourth Proportional to 17,701.60, 24,425.34 and 10,146.54

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Solution

The fourth proportional to 17,701.60, 24,425.34 and 10,146.54 is: 14,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.60 : 24,425.34 = 10,146.54 : x
  2. Step 2: Convert to fraction form
    17,701.60/24,425.34 = 10,146.54/x
  3. Step 3: Cross multiply
    17,701.60x = 24,425.34 × 10,146.54
  4. Step 4: Simplify right side
    17,701.60x = 247,832,592.56
  5. Step 5: Solve for x
    x = 247,832,592.56/17,701.60
  6. Step 6: Final answer
    x = 14,000.58

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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.