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Finding the Fourth Proportional to 10,384.40, 15,576.60 and 9,930.80

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Solution

The fourth proportional to 10,384.40, 15,576.60 and 9,930.80 is: 14,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.40 : 15,576.60 = 9,930.80 : x
  2. Step 2: Convert to fraction form
    10,384.40/15,576.60 = 9,930.80/x
  3. Step 3: Cross multiply
    10,384.40x = 15,576.60 × 9,930.80
  4. Step 4: Simplify right side
    10,384.40x = 154,688,099.28
  5. Step 5: Solve for x
    x = 154,688,099.28/10,384.40
  6. Step 6: Final answer
    x = 14,896.20

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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.