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Finding the Fourth Proportional to 25,384.39, 38,080.68 and 7,854.22

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Solution

The fourth proportional to 25,384.39, 38,080.68 and 7,854.22 is: 11,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,384.39 : 38,080.68 = 7,854.22 : x
  2. Step 2: Convert to fraction form
    25,384.39/38,080.68 = 7,854.22/x
  3. Step 3: Cross multiply
    25,384.39x = 38,080.68 × 7,854.22
  4. Step 4: Simplify right side
    25,384.39x = 299,093,886.59
  5. Step 5: Solve for x
    x = 299,093,886.59/25,384.39
  6. Step 6: Final answer
    x = 11,782.59

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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.