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Finding the Fourth Proportional to 22,751.14, 34,163.76 and 14,041.42

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Solution

The fourth proportional to 22,751.14, 34,163.76 and 14,041.42 is: 21,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,751.14 : 34,163.76 = 14,041.42 : x
  2. Step 2: Convert to fraction form
    22,751.14/34,163.76 = 14,041.42/x
  3. Step 3: Cross multiply
    22,751.14x = 34,163.76 × 14,041.42
  4. Step 4: Simplify right side
    22,751.14x = 479,707,702.94
  5. Step 5: Solve for x
    x = 479,707,702.94/22,751.14
  6. Step 6: Final answer
    x = 21,085.00

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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.