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Finding the Fourth Proportional to 16,284.78, 22,474.08 and 9,211.20

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Solution

The fourth proportional to 16,284.78, 22,474.08 and 9,211.20 is: 12,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.78 : 22,474.08 = 9,211.20 : x
  2. Step 2: Convert to fraction form
    16,284.78/22,474.08 = 9,211.20/x
  3. Step 3: Cross multiply
    16,284.78x = 22,474.08 × 9,211.20
  4. Step 4: Simplify right side
    16,284.78x = 207,013,245.70
  5. Step 5: Solve for x
    x = 207,013,245.70/16,284.78
  6. Step 6: Final answer
    x = 12,712.07

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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.