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Finding the Fourth Proportional to 23,146.70, 34,714.64 and 6,508.33

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Solution

The fourth proportional to 23,146.70, 34,714.64 and 6,508.33 is: 9,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.70 : 34,714.64 = 6,508.33 : x
  2. Step 2: Convert to fraction form
    23,146.70/34,714.64 = 6,508.33/x
  3. Step 3: Cross multiply
    23,146.70x = 34,714.64 × 6,508.33
  4. Step 4: Simplify right side
    23,146.70x = 225,934,332.95
  5. Step 5: Solve for x
    x = 225,934,332.95/23,146.70
  6. Step 6: Final answer
    x = 9,760.97

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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.