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Finding the Fourth Proportional to 27,677.98, 38,195.70 and 15,742.15

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Solution

The fourth proportional to 27,677.98, 38,195.70 and 15,742.15 is: 21,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677.98 : 38,195.70 = 15,742.15 : x
  2. Step 2: Convert to fraction form
    27,677.98/38,195.70 = 15,742.15/x
  3. Step 3: Cross multiply
    27,677.98x = 38,195.70 × 15,742.15
  4. Step 4: Simplify right side
    27,677.98x = 601,282,438.76
  5. Step 5: Solve for x
    x = 601,282,438.76/27,677.98
  6. Step 6: Final answer
    x = 21,724.22

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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.