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Finding the Fourth Proportional to 23,101.46, 34,655.92 and 9,053.87

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Solution

The fourth proportional to 23,101.46, 34,655.92 and 9,053.87 is: 13,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.46 : 34,655.92 = 9,053.87 : x
  2. Step 2: Convert to fraction form
    23,101.46/34,655.92 = 9,053.87/x
  3. Step 3: Cross multiply
    23,101.46x = 34,655.92 × 9,053.87
  4. Step 4: Simplify right side
    23,101.46x = 313,770,114.40
  5. Step 5: Solve for x
    x = 313,770,114.40/23,101.46
  6. Step 6: Final answer
    x = 13,582.27

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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.