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Finding the Fourth Proportional to 14,049.60, 21,071.53 and 5,161.87

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Solution

The fourth proportional to 14,049.60, 21,071.53 and 5,161.87 is: 7,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049.60 : 21,071.53 = 5,161.87 : x
  2. Step 2: Convert to fraction form
    14,049.60/21,071.53 = 5,161.87/x
  3. Step 3: Cross multiply
    14,049.60x = 21,071.53 × 5,161.87
  4. Step 4: Simplify right side
    14,049.60x = 108,768,545.87
  5. Step 5: Solve for x
    x = 108,768,545.87/14,049.60
  6. Step 6: Final answer
    x = 7,741.76

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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.