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Finding the Fourth Proportional to 27,740.25, 38,281.55 and 15,165

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Solution

The fourth proportional to 27,740.25, 38,281.55 and 15,165 is: 20,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740.25 : 38,281.55 = 15,165 : x
  2. Step 2: Convert to fraction form
    27,740.25/38,281.55 = 15,165/x
  3. Step 3: Cross multiply
    27,740.25x = 38,281.55 × 15,165
  4. Step 4: Simplify right side
    27,740.25x = 580,539,629.93
  5. Step 5: Solve for x
    x = 580,539,629.93/27,740.25
  6. Step 6: Final answer
    x = 20,927.70

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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.