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Finding the Fourth Proportional to 22,868.50, 34,293.02 and 14,101.06

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Solution

The fourth proportional to 22,868.50, 34,293.02 and 14,101.06 is: 21,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,868.50 : 34,293.02 = 14,101.06 : x
  2. Step 2: Convert to fraction form
    22,868.50/34,293.02 = 14,101.06/x
  3. Step 3: Cross multiply
    22,868.50x = 34,293.02 × 14,101.06
  4. Step 4: Simplify right side
    22,868.50x = 483,567,932.60
  5. Step 5: Solve for x
    x = 483,567,932.60/22,868.50
  6. Step 6: Final answer
    x = 21,145.59

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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.