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Finding the Fourth Proportional to 22,742.98, 34,057.50 and 14,397.82

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Solution

The fourth proportional to 22,742.98, 34,057.50 and 14,397.82 is: 21,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742.98 : 34,057.50 = 14,397.82 : x
  2. Step 2: Convert to fraction form
    22,742.98/34,057.50 = 14,397.82/x
  3. Step 3: Cross multiply
    22,742.98x = 34,057.50 × 14,397.82
  4. Step 4: Simplify right side
    22,742.98x = 490,353,754.65
  5. Step 5: Solve for x
    x = 490,353,754.65/22,742.98
  6. Step 6: Final answer
    x = 21,560.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.