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Finding the Fourth Proportional to 22,765.47, 34,165.86 and 15,794.40

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Solution

The fourth proportional to 22,765.47, 34,165.86 and 15,794.40 is: 23,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.47 : 34,165.86 = 15,794.40 : x
  2. Step 2: Convert to fraction form
    22,765.47/34,165.86 = 15,794.40/x
  3. Step 3: Cross multiply
    22,765.47x = 34,165.86 × 15,794.40
  4. Step 4: Simplify right side
    22,765.47x = 539,629,259.18
  5. Step 5: Solve for x
    x = 539,629,259.18/22,765.47
  6. Step 6: Final answer
    x = 23,703.85

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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.