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Finding the Fourth Proportional to 10,869.84, 16,213.40 and 9,873.24

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Solution

The fourth proportional to 10,869.84, 16,213.40 and 9,873.24 is: 14,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.84 : 16,213.40 = 9,873.24 : x
  2. Step 2: Convert to fraction form
    10,869.84/16,213.40 = 9,873.24/x
  3. Step 3: Cross multiply
    10,869.84x = 16,213.40 × 9,873.24
  4. Step 4: Simplify right side
    10,869.84x = 160,078,740.05
  5. Step 5: Solve for x
    x = 160,078,740.05/10,869.84
  6. Step 6: Final answer
    x = 14,726.87

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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.