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Finding the Fourth Proportional to 10,908.50, 16,280.36 and 9,858.74

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Solution

The fourth proportional to 10,908.50, 16,280.36 and 9,858.74 is: 14,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.50 : 16,280.36 = 9,858.74 : x
  2. Step 2: Convert to fraction form
    10,908.50/16,280.36 = 9,858.74/x
  3. Step 3: Cross multiply
    10,908.50x = 16,280.36 × 9,858.74
  4. Step 4: Simplify right side
    10,908.50x = 160,503,836.35
  5. Step 5: Solve for x
    x = 160,503,836.35/10,908.50
  6. Step 6: Final answer
    x = 14,713.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.