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Finding the Fourth Proportional to 12,701.88, 19,065.14 and 6,132.68

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Solution

The fourth proportional to 12,701.88, 19,065.14 and 6,132.68 is: 9,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.88 : 19,065.14 = 6,132.68 : x
  2. Step 2: Convert to fraction form
    12,701.88/19,065.14 = 6,132.68/x
  3. Step 3: Cross multiply
    12,701.88x = 19,065.14 × 6,132.68
  4. Step 4: Simplify right side
    12,701.88x = 116,920,402.78
  5. Step 5: Solve for x
    x = 116,920,402.78/12,701.88
  6. Step 6: Final answer
    x = 9,204.97

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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.