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Finding the Fourth Proportional to 18,765.84, 25,896.67 and 10,382.40

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Solution

The fourth proportional to 18,765.84, 25,896.67 and 10,382.40 is: 14,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,765.84 : 25,896.67 = 10,382.40 : x
  2. Step 2: Convert to fraction form
    18,765.84/25,896.67 = 10,382.40/x
  3. Step 3: Cross multiply
    18,765.84x = 25,896.67 × 10,382.40
  4. Step 4: Simplify right side
    18,765.84x = 268,869,534.70
  5. Step 5: Solve for x
    x = 268,869,534.70/18,765.84
  6. Step 6: Final answer
    x = 14,327.60

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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.