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Finding the Fourth Proportional to 24,870.58, 34,310.61 and 14,257.78

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Solution

The fourth proportional to 24,870.58, 34,310.61 and 14,257.78 is: 19,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870.58 : 34,310.61 = 14,257.78 : x
  2. Step 2: Convert to fraction form
    24,870.58/34,310.61 = 14,257.78/x
  3. Step 3: Cross multiply
    24,870.58x = 34,310.61 × 14,257.78
  4. Step 4: Simplify right side
    24,870.58x = 489,193,129.05
  5. Step 5: Solve for x
    x = 489,193,129.05/24,870.58
  6. Step 6: Final answer
    x = 19,669.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.