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Finding the Fourth Proportional to 23,124.33, 34,680.74 and 9,982.89

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Solution

The fourth proportional to 23,124.33, 34,680.74 and 9,982.89 is: 14,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124.33 : 34,680.74 = 9,982.89 : x
  2. Step 2: Convert to fraction form
    23,124.33/34,680.74 = 9,982.89/x
  3. Step 3: Cross multiply
    23,124.33x = 34,680.74 × 9,982.89
  4. Step 4: Simplify right side
    23,124.33x = 346,213,962.62
  5. Step 5: Solve for x
    x = 346,213,962.62/23,124.33
  6. Step 6: Final answer
    x = 14,971.85

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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.