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Finding the Fourth Proportional to 25,578.91, 38,370.61 and 7,813.58

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Solution

The fourth proportional to 25,578.91, 38,370.61 and 7,813.58 is: 11,721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578.91 : 38,370.61 = 7,813.58 : x
  2. Step 2: Convert to fraction form
    25,578.91/38,370.61 = 7,813.58/x
  3. Step 3: Cross multiply
    25,578.91x = 38,370.61 × 7,813.58
  4. Step 4: Simplify right side
    25,578.91x = 299,811,619.50
  5. Step 5: Solve for x
    x = 299,811,619.50/25,578.91
  6. Step 6: Final answer
    x = 11,721.05

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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.