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Finding the Fourth Proportional to 27,641.70, 41,471.31 and 9,871.95

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Solution

The fourth proportional to 27,641.70, 41,471.31 and 9,871.95 is: 14,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.70 : 41,471.31 = 9,871.95 : x
  2. Step 2: Convert to fraction form
    27,641.70/41,471.31 = 9,871.95/x
  3. Step 3: Cross multiply
    27,641.70x = 41,471.31 × 9,871.95
  4. Step 4: Simplify right side
    27,641.70x = 409,402,698.75
  5. Step 5: Solve for x
    x = 409,402,698.75/27,641.70
  6. Step 6: Final answer
    x = 14,811.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.