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Finding the Fourth Proportional to 23,854.69, 35,788.52 and 7,215.27

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Solution

The fourth proportional to 23,854.69, 35,788.52 and 7,215.27 is: 10,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.69 : 35,788.52 = 7,215.27 : x
  2. Step 2: Convert to fraction form
    23,854.69/35,788.52 = 7,215.27/x
  3. Step 3: Cross multiply
    23,854.69x = 35,788.52 × 7,215.27
  4. Step 4: Simplify right side
    23,854.69x = 258,223,834.70
  5. Step 5: Solve for x
    x = 258,223,834.70/23,854.69
  6. Step 6: Final answer
    x = 10,824.87

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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.