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Finding the Fourth Proportional to 23,041.87, 34,534.05 and 9,878.97

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Solution

The fourth proportional to 23,041.87, 34,534.05 and 9,878.97 is: 14,806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,041.87 : 34,534.05 = 9,878.97 : x
  2. Step 2: Convert to fraction form
    23,041.87/34,534.05 = 9,878.97/x
  3. Step 3: Cross multiply
    23,041.87x = 34,534.05 × 9,878.97
  4. Step 4: Simplify right side
    23,041.87x = 341,160,843.93
  5. Step 5: Solve for x
    x = 341,160,843.93/23,041.87
  6. Step 6: Final answer
    x = 14,806.13

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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.