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Finding the Fourth Proportional to 14,842.34, 20,441.13 and 11,472.74

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Solution

The fourth proportional to 14,842.34, 20,441.13 and 11,472.74 is: 15,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.34 : 20,441.13 = 11,472.74 : x
  2. Step 2: Convert to fraction form
    14,842.34/20,441.13 = 11,472.74/x
  3. Step 3: Cross multiply
    14,842.34x = 20,441.13 × 11,472.74
  4. Step 4: Simplify right side
    14,842.34x = 234,515,769.80
  5. Step 5: Solve for x
    x = 234,515,769.80/14,842.34
  6. Step 6: Final answer
    x = 15,800.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.