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Finding the Fourth Proportional to 18,506.28, 25,538.70 and 10,122.78

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Solution

The fourth proportional to 18,506.28, 25,538.70 and 10,122.78 is: 13,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.28 : 25,538.70 = 10,122.78 : x
  2. Step 2: Convert to fraction form
    18,506.28/25,538.70 = 10,122.78/x
  3. Step 3: Cross multiply
    18,506.28x = 25,538.70 × 10,122.78
  4. Step 4: Simplify right side
    18,506.28x = 258,522,641.59
  5. Step 5: Solve for x
    x = 258,522,641.59/18,506.28
  6. Step 6: Final answer
    x = 13,969.45

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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.