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Finding the Fourth Proportional to 12,366.10, 18,532.32 and 10,299.16

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Solution

The fourth proportional to 12,366.10, 18,532.32 and 10,299.16 is: 15,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366.10 : 18,532.32 = 10,299.16 : x
  2. Step 2: Convert to fraction form
    12,366.10/18,532.32 = 10,299.16/x
  3. Step 3: Cross multiply
    12,366.10x = 18,532.32 × 10,299.16
  4. Step 4: Simplify right side
    12,366.10x = 190,867,328.85
  5. Step 5: Solve for x
    x = 190,867,328.85/12,366.10
  6. Step 6: Final answer
    x = 15,434.72

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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.