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Finding the Fourth Proportional to 25,767.97, 38,651.95 and 9,124.02

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Solution

The fourth proportional to 25,767.97, 38,651.95 and 9,124.02 is: 13,686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,767.97 : 38,651.95 = 9,124.02 : x
  2. Step 2: Convert to fraction form
    25,767.97/38,651.95 = 9,124.02/x
  3. Step 3: Cross multiply
    25,767.97x = 38,651.95 × 9,124.02
  4. Step 4: Simplify right side
    25,767.97x = 352,661,176.24
  5. Step 5: Solve for x
    x = 352,661,176.24/25,767.97
  6. Step 6: Final answer
    x = 13,686.03

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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.