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Finding the Fourth Proportional to 23,878.76, 35,818.10 and 6,348.59

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Solution

The fourth proportional to 23,878.76, 35,818.10 and 6,348.59 is: 9,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.76 : 35,818.10 = 6,348.59 : x
  2. Step 2: Convert to fraction form
    23,878.76/35,818.10 = 6,348.59/x
  3. Step 3: Cross multiply
    23,878.76x = 35,818.10 × 6,348.59
  4. Step 4: Simplify right side
    23,878.76x = 227,394,220.65
  5. Step 5: Solve for x
    x = 227,394,220.65/23,878.76
  6. Step 6: Final answer
    x = 9,522.87

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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.