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Finding the Fourth Proportional to 22,962.42, 34,456.59 and 9,813.78

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Solution

The fourth proportional to 22,962.42, 34,456.59 and 9,813.78 is: 14,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,962.42 : 34,456.59 = 9,813.78 : x
  2. Step 2: Convert to fraction form
    22,962.42/34,456.59 = 9,813.78/x
  3. Step 3: Cross multiply
    22,962.42x = 34,456.59 × 9,813.78
  4. Step 4: Simplify right side
    22,962.42x = 338,149,393.81
  5. Step 5: Solve for x
    x = 338,149,393.81/22,962.42
  6. Step 6: Final answer
    x = 14,726.21

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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.