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Finding the Fourth Proportional to 10,576.95, 15,821.69 and 9,614.67

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Solution

The fourth proportional to 10,576.95, 15,821.69 and 9,614.67 is: 14,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.95 : 15,821.69 = 9,614.67 : x
  2. Step 2: Convert to fraction form
    10,576.95/15,821.69 = 9,614.67/x
  3. Step 3: Cross multiply
    10,576.95x = 15,821.69 × 9,614.67
  4. Step 4: Simplify right side
    10,576.95x = 152,120,280.12
  5. Step 5: Solve for x
    x = 152,120,280.12/10,576.95
  6. Step 6: Final answer
    x = 14,382.24

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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.