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Finding the Fourth Proportional to 14,498.46, 21,747.80 and 5,138.53

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Solution

The fourth proportional to 14,498.46, 21,747.80 and 5,138.53 is: 7,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,498.46 : 21,747.80 = 5,138.53 : x
  2. Step 2: Convert to fraction form
    14,498.46/21,747.80 = 5,138.53/x
  3. Step 3: Cross multiply
    14,498.46x = 21,747.80 × 5,138.53
  4. Step 4: Simplify right side
    14,498.46x = 111,751,681.21
  5. Step 5: Solve for x
    x = 111,751,681.21/14,498.46
  6. Step 6: Final answer
    x = 7,707.83

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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.