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Finding the Fourth Proportional to 12,299.16, 18,453.06 and 10,464.24

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Solution

The fourth proportional to 12,299.16, 18,453.06 and 10,464.24 is: 15,700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.16 : 18,453.06 = 10,464.24 : x
  2. Step 2: Convert to fraction form
    12,299.16/18,453.06 = 10,464.24/x
  3. Step 3: Cross multiply
    12,299.16x = 18,453.06 × 10,464.24
  4. Step 4: Simplify right side
    12,299.16x = 193,097,248.57
  5. Step 5: Solve for x
    x = 193,097,248.57/12,299.16
  6. Step 6: Final answer
    x = 15,700.04

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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.