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Finding the Fourth Proportional to 12,706.85, 19,034.76 and 7,151.87

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Solution

The fourth proportional to 12,706.85, 19,034.76 and 7,151.87 is: 10,713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.85 : 19,034.76 = 7,151.87 : x
  2. Step 2: Convert to fraction form
    12,706.85/19,034.76 = 7,151.87/x
  3. Step 3: Cross multiply
    12,706.85x = 19,034.76 × 7,151.87
  4. Step 4: Simplify right side
    12,706.85x = 136,134,129.00
  5. Step 5: Solve for x
    x = 136,134,129.00/12,706.85
  6. Step 6: Final answer
    x = 10,713.44

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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.