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Finding the Fourth Proportional to 15,255.18, 22,842.72 and 12,277.80

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Solution

The fourth proportional to 15,255.18, 22,842.72 and 12,277.80 is: 18,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,255.18 : 22,842.72 = 12,277.80 : x
  2. Step 2: Convert to fraction form
    15,255.18/22,842.72 = 12,277.80/x
  3. Step 3: Cross multiply
    15,255.18x = 22,842.72 × 12,277.80
  4. Step 4: Simplify right side
    15,255.18x = 280,458,347.62
  5. Step 5: Solve for x
    x = 280,458,347.62/15,255.18
  6. Step 6: Final answer
    x = 18,384.47

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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.