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Finding the Fourth Proportional to 27,931.36, 38,542.80 and 15,355.84

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Solution

The fourth proportional to 27,931.36, 38,542.80 and 15,355.84 is: 21,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931.36 : 38,542.80 = 15,355.84 : x
  2. Step 2: Convert to fraction form
    27,931.36/38,542.80 = 15,355.84/x
  3. Step 3: Cross multiply
    27,931.36x = 38,542.80 × 15,355.84
  4. Step 4: Simplify right side
    27,931.36x = 591,857,069.95
  5. Step 5: Solve for x
    x = 591,857,069.95/27,931.36
  6. Step 6: Final answer
    x = 21,189.70

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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.