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Finding the Fourth Proportional to 38,442.24, 57,672.96 and 10,740

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Solution

The fourth proportional to 38,442.24, 57,672.96 and 10,740 is: 16,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.24 : 57,672.96 = 10,740 : x
  2. Step 2: Convert to fraction form
    38,442.24/57,672.96 = 10,740/x
  3. Step 3: Cross multiply
    38,442.24x = 57,672.96 × 10,740
  4. Step 4: Simplify right side
    38,442.24x = 619,407,590.40
  5. Step 5: Solve for x
    x = 619,407,590.40/38,442.24
  6. Step 6: Final answer
    x = 16,112.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.