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Finding the Fourth Proportional to 27,642.50, 38,146.66 and 15,705.85

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Solution

The fourth proportional to 27,642.50, 38,146.66 and 15,705.85 is: 21,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.50 : 38,146.66 = 15,705.85 : x
  2. Step 2: Convert to fraction form
    27,642.50/38,146.66 = 15,705.85/x
  3. Step 3: Cross multiply
    27,642.50x = 38,146.66 × 15,705.85
  4. Step 4: Simplify right side
    27,642.50x = 599,125,719.96
  5. Step 5: Solve for x
    x = 599,125,719.96/27,642.50
  6. Step 6: Final answer
    x = 21,674.08

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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.