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Finding the Fourth Proportional to 24,471.20, 33,776.40 and 13,867.16

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Solution

The fourth proportional to 24,471.20, 33,776.40 and 13,867.16 is: 19,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.20 : 33,776.40 = 13,867.16 : x
  2. Step 2: Convert to fraction form
    24,471.20/33,776.40 = 13,867.16/x
  3. Step 3: Cross multiply
    24,471.20x = 33,776.40 × 13,867.16
  4. Step 4: Simplify right side
    24,471.20x = 468,382,743.02
  5. Step 5: Solve for x
    x = 468,382,743.02/24,471.20
  6. Step 6: Final answer
    x = 19,140.16

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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.