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Finding the Fourth Proportional to 22,840.79, 34,278.50 and 9,702.38

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Solution

The fourth proportional to 22,840.79, 34,278.50 and 9,702.38 is: 14,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,840.79 : 34,278.50 = 9,702.38 : x
  2. Step 2: Convert to fraction form
    22,840.79/34,278.50 = 9,702.38/x
  3. Step 3: Cross multiply
    22,840.79x = 34,278.50 × 9,702.38
  4. Step 4: Simplify right side
    22,840.79x = 332,582,984.32
  5. Step 5: Solve for x
    x = 332,582,984.32/22,840.79
  6. Step 6: Final answer
    x = 14,560.92

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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.