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Finding the Fourth Proportional to 25,765.36, 38,651.11 and 9,122.02

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Solution

The fourth proportional to 25,765.36, 38,651.11 and 9,122.02 is: 13,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765.36 : 38,651.11 = 9,122.02 : x
  2. Step 2: Convert to fraction form
    25,765.36/38,651.11 = 9,122.02/x
  3. Step 3: Cross multiply
    25,765.36x = 38,651.11 × 9,122.02
  4. Step 4: Simplify right side
    25,765.36x = 352,576,079.01
  5. Step 5: Solve for x
    x = 352,576,079.01/25,765.36
  6. Step 6: Final answer
    x = 13,684.11

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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.