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Finding the Fourth Proportional to 27,854.01, 38,438.42 and 15,278.49

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Solution

The fourth proportional to 27,854.01, 38,438.42 and 15,278.49 is: 21,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.01 : 38,438.42 = 15,278.49 : x
  2. Step 2: Convert to fraction form
    27,854.01/38,438.42 = 15,278.49/x
  3. Step 3: Cross multiply
    27,854.01x = 38,438.42 × 15,278.49
  4. Step 4: Simplify right side
    27,854.01x = 587,280,939.19
  5. Step 5: Solve for x
    x = 587,280,939.19/27,854.01
  6. Step 6: Final answer
    x = 21,084.25

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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.