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Finding the Fourth Proportional to 27,473.80, 41,214.82 and 9,947.74

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Solution

The fourth proportional to 27,473.80, 41,214.82 and 9,947.74 is: 14,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,473.80 : 41,214.82 = 9,947.74 : x
  2. Step 2: Convert to fraction form
    27,473.80/41,214.82 = 9,947.74/x
  3. Step 3: Cross multiply
    27,473.80x = 41,214.82 × 9,947.74
  4. Step 4: Simplify right side
    27,473.80x = 409,994,313.51
  5. Step 5: Solve for x
    x = 409,994,313.51/27,473.80
  6. Step 6: Final answer
    x = 14,923.10

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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.