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Finding the Fourth Proportional to 16,258.35, 22,436.42 and 9,184.76

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Solution

The fourth proportional to 16,258.35, 22,436.42 and 9,184.76 is: 12,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258.35 : 22,436.42 = 9,184.76 : x
  2. Step 2: Convert to fraction form
    16,258.35/22,436.42 = 9,184.76/x
  3. Step 3: Cross multiply
    16,258.35x = 22,436.42 × 9,184.76
  4. Step 4: Simplify right side
    16,258.35x = 206,072,974.85
  5. Step 5: Solve for x
    x = 206,072,974.85/16,258.35
  6. Step 6: Final answer
    x = 12,674.90

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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.