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Finding the Fourth Proportional to 12,419.43, 18,632.19 and 10,202.01

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Solution

The fourth proportional to 12,419.43, 18,632.19 and 10,202.01 is: 15,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.43 : 18,632.19 = 10,202.01 : x
  2. Step 2: Convert to fraction form
    12,419.43/18,632.19 = 10,202.01/x
  3. Step 3: Cross multiply
    12,419.43x = 18,632.19 × 10,202.01
  4. Step 4: Simplify right side
    12,419.43x = 190,085,788.70
  5. Step 5: Solve for x
    x = 190,085,788.70/12,419.43
  6. Step 6: Final answer
    x = 15,305.52

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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.