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Finding the Fourth Proportional to 15,498.78, 23,257.74 and 6,137.22

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Solution

The fourth proportional to 15,498.78, 23,257.74 and 6,137.22 is: 9,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498.78 : 23,257.74 = 6,137.22 : x
  2. Step 2: Convert to fraction form
    15,498.78/23,257.74 = 6,137.22/x
  3. Step 3: Cross multiply
    15,498.78x = 23,257.74 × 6,137.22
  4. Step 4: Simplify right side
    15,498.78x = 142,737,867.08
  5. Step 5: Solve for x
    x = 142,737,867.08/15,498.78
  6. Step 6: Final answer
    x = 9,209.62

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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.