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Finding the Fourth Proportional to 14,839.47, 22,261.92 and 7,449.03

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Solution

The fourth proportional to 14,839.47, 22,261.92 and 7,449.03 is: 11,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,839.47 : 22,261.92 = 7,449.03 : x
  2. Step 2: Convert to fraction form
    14,839.47/22,261.92 = 7,449.03/x
  3. Step 3: Cross multiply
    14,839.47x = 22,261.92 × 7,449.03
  4. Step 4: Simplify right side
    14,839.47x = 165,829,709.94
  5. Step 5: Solve for x
    x = 165,829,709.94/14,839.47
  6. Step 6: Final answer
    x = 11,174.91

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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.