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Finding the Fourth Proportional to 23,109.38, 34,658.73 and 6,470.58

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Solution

The fourth proportional to 23,109.38, 34,658.73 and 6,470.58 is: 9,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.38 : 34,658.73 = 6,470.58 : x
  2. Step 2: Convert to fraction form
    23,109.38/34,658.73 = 6,470.58/x
  3. Step 3: Cross multiply
    23,109.38x = 34,658.73 × 6,470.58
  4. Step 4: Simplify right side
    23,109.38x = 224,262,085.16
  5. Step 5: Solve for x
    x = 224,262,085.16/23,109.38
  6. Step 6: Final answer
    x = 9,704.37

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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.