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Finding the Fourth Proportional to 13,711.25, 18,920.71 and 7,660.35

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Solution

The fourth proportional to 13,711.25, 18,920.71 and 7,660.35 is: 10,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.25 : 18,920.71 = 7,660.35 : x
  2. Step 2: Convert to fraction form
    13,711.25/18,920.71 = 7,660.35/x
  3. Step 3: Cross multiply
    13,711.25x = 18,920.71 × 7,660.35
  4. Step 4: Simplify right side
    13,711.25x = 144,939,260.85
  5. Step 5: Solve for x
    x = 144,939,260.85/13,711.25
  6. Step 6: Final answer
    x = 10,570.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.