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Finding the Fourth Proportional to 23,107.48, 34,663.04 and 8,317.89

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Solution

The fourth proportional to 23,107.48, 34,663.04 and 8,317.89 is: 12,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.48 : 34,663.04 = 8,317.89 : x
  2. Step 2: Convert to fraction form
    23,107.48/34,663.04 = 8,317.89/x
  3. Step 3: Cross multiply
    23,107.48x = 34,663.04 × 8,317.89
  4. Step 4: Simplify right side
    23,107.48x = 288,323,343.39
  5. Step 5: Solve for x
    x = 288,323,343.39/23,107.48
  6. Step 6: Final answer
    x = 12,477.49

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Why These Related Problems?

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