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Finding the Fourth Proportional to 12,785.67, 19,186.76 and 5,390.17

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Solution

The fourth proportional to 12,785.67, 19,186.76 and 5,390.17 is: 8,088.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.67 : 19,186.76 = 5,390.17 : x
  2. Step 2: Convert to fraction form
    12,785.67/19,186.76 = 5,390.17/x
  3. Step 3: Cross multiply
    12,785.67x = 19,186.76 × 5,390.17
  4. Step 4: Simplify right side
    12,785.67x = 103,419,898.15
  5. Step 5: Solve for x
    x = 103,419,898.15/12,785.67
  6. Step 6: Final answer
    x = 8,088.74

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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.