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Finding the Fourth Proportional to 14,842.42, 22,257.63 and 5,352.03

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Solution

The fourth proportional to 14,842.42, 22,257.63 and 5,352.03 is: 8,025.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.42 : 22,257.63 = 5,352.03 : x
  2. Step 2: Convert to fraction form
    14,842.42/22,257.63 = 5,352.03/x
  3. Step 3: Cross multiply
    14,842.42x = 22,257.63 × 5,352.03
  4. Step 4: Simplify right side
    14,842.42x = 119,123,503.49
  5. Step 5: Solve for x
    x = 119,123,503.49/14,842.42
  6. Step 6: Final answer
    x = 8,025.88

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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.