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Finding the Fourth Proportional to 12,544.32, 18,816.48 and 10,193.16

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Solution

The fourth proportional to 12,544.32, 18,816.48 and 10,193.16 is: 15,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.32 : 18,816.48 = 10,193.16 : x
  2. Step 2: Convert to fraction form
    12,544.32/18,816.48 = 10,193.16/x
  3. Step 3: Cross multiply
    12,544.32x = 18,816.48 × 10,193.16
  4. Step 4: Simplify right side
    12,544.32x = 191,799,391.28
  5. Step 5: Solve for x
    x = 191,799,391.28/12,544.32
  6. Step 6: Final answer
    x = 15,289.74

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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.