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Finding the Fourth Proportional to 23,001.10, 34,508.94 and 8,209.69

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Solution

The fourth proportional to 23,001.10, 34,508.94 and 8,209.69 is: 12,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,001.10 : 34,508.94 = 8,209.69 : x
  2. Step 2: Convert to fraction form
    23,001.10/34,508.94 = 8,209.69/x
  3. Step 3: Cross multiply
    23,001.10x = 34,508.94 × 8,209.69
  4. Step 4: Simplify right side
    23,001.10x = 283,307,582.57
  5. Step 5: Solve for x
    x = 283,307,582.57/23,001.10
  6. Step 6: Final answer
    x = 12,317.13

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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.