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Finding the Fourth Proportional to 12,701.49, 19,049.15 and 5,301.93

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Solution

The fourth proportional to 12,701.49, 19,049.15 and 5,301.93 is: 7,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.49 : 19,049.15 = 5,301.93 : x
  2. Step 2: Convert to fraction form
    12,701.49/19,049.15 = 5,301.93/x
  3. Step 3: Cross multiply
    12,701.49x = 19,049.15 × 5,301.93
  4. Step 4: Simplify right side
    12,701.49x = 100,997,344.55
  5. Step 5: Solve for x
    x = 100,997,344.55/12,701.49
  6. Step 6: Final answer
    x = 7,951.62

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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.