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Finding the Fourth Proportional to 22,840.54, 34,278.12 and 9,702.14

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Solution

The fourth proportional to 22,840.54, 34,278.12 and 9,702.14 is: 14,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,840.54 : 34,278.12 = 9,702.14 : x
  2. Step 2: Convert to fraction form
    22,840.54/34,278.12 = 9,702.14/x
  3. Step 3: Cross multiply
    22,840.54x = 34,278.12 × 9,702.14
  4. Step 4: Simplify right side
    22,840.54x = 332,571,119.18
  5. Step 5: Solve for x
    x = 332,571,119.18/22,840.54
  6. Step 6: Final answer
    x = 14,560.56

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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.