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Finding the Fourth Proportional to 23,146.74, 34,720.20 and 6,508.62

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Solution

The fourth proportional to 23,146.74, 34,720.20 and 6,508.62 is: 9,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.74 : 34,720.20 = 6,508.62 : x
  2. Step 2: Convert to fraction form
    23,146.74/34,720.20 = 6,508.62/x
  3. Step 3: Cross multiply
    23,146.74x = 34,720.20 × 6,508.62
  4. Step 4: Simplify right side
    23,146.74x = 225,980,588.12
  5. Step 5: Solve for x
    x = 225,980,588.12/23,146.74
  6. Step 6: Final answer
    x = 9,762.96

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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.