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Finding the Fourth Proportional to 24,474.65, 33,780.44 and 13,870.13

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Solution

The fourth proportional to 24,474.65, 33,780.44 and 13,870.13 is: 19,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474.65 : 33,780.44 = 13,870.13 : x
  2. Step 2: Convert to fraction form
    24,474.65/33,780.44 = 13,870.13/x
  3. Step 3: Cross multiply
    24,474.65x = 33,780.44 × 13,870.13
  4. Step 4: Simplify right side
    24,474.65x = 468,538,960.03
  5. Step 5: Solve for x
    x = 468,538,960.03/24,474.65
  6. Step 6: Final answer
    x = 19,143.85

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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.