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Finding the Fourth Proportional to 17,141.39, 25,713.90 and 4,661.61

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Solution

The fourth proportional to 17,141.39, 25,713.90 and 4,661.61 is: 6,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,141.39 : 25,713.90 = 4,661.61 : x
  2. Step 2: Convert to fraction form
    17,141.39/25,713.90 = 4,661.61/x
  3. Step 3: Cross multiply
    17,141.39x = 25,713.90 × 4,661.61
  4. Step 4: Simplify right side
    17,141.39x = 119,868,269.81
  5. Step 5: Solve for x
    x = 119,868,269.81/17,141.39
  6. Step 6: Final answer
    x = 6,992.92

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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.