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Finding the Fourth Proportional to 10,481.84, 15,723.24 and 9,977.44

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Solution

The fourth proportional to 10,481.84, 15,723.24 and 9,977.44 is: 14,966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.84 : 15,723.24 = 9,977.44 : x
  2. Step 2: Convert to fraction form
    10,481.84/15,723.24 = 9,977.44/x
  3. Step 3: Cross multiply
    10,481.84x = 15,723.24 × 9,977.44
  4. Step 4: Simplify right side
    10,481.84x = 156,877,683.71
  5. Step 5: Solve for x
    x = 156,877,683.71/10,481.84
  6. Step 6: Final answer
    x = 14,966.62

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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.