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Finding the Fourth Proportional to 22,843.46, 34,256.55 and 9,702.02

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Solution

The fourth proportional to 22,843.46, 34,256.55 and 9,702.02 is: 14,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.46 : 34,256.55 = 9,702.02 : x
  2. Step 2: Convert to fraction form
    22,843.46/34,256.55 = 9,702.02/x
  3. Step 3: Cross multiply
    22,843.46x = 34,256.55 × 9,702.02
  4. Step 4: Simplify right side
    22,843.46x = 332,357,733.23
  5. Step 5: Solve for x
    x = 332,357,733.23/22,843.46
  6. Step 6: Final answer
    x = 14,549.36

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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.