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Finding the Fourth Proportional to 22,858.98, 34,260.20 and 13,489.50

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Solution

The fourth proportional to 22,858.98, 34,260.20 and 13,489.50 is: 20,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.98 : 34,260.20 = 13,489.50 : x
  2. Step 2: Convert to fraction form
    22,858.98/34,260.20 = 13,489.50/x
  3. Step 3: Cross multiply
    22,858.98x = 34,260.20 × 13,489.50
  4. Step 4: Simplify right side
    22,858.98x = 462,152,967.90
  5. Step 5: Solve for x
    x = 462,152,967.90/22,858.98
  6. Step 6: Final answer
    x = 20,217.57

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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.