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Finding the Fourth Proportional to 15,133.72, 20,884.22 and 8,419.20

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Solution

The fourth proportional to 15,133.72, 20,884.22 and 8,419.20 is: 11,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,133.72 : 20,884.22 = 8,419.20 : x
  2. Step 2: Convert to fraction form
    15,133.72/20,884.22 = 8,419.20/x
  3. Step 3: Cross multiply
    15,133.72x = 20,884.22 × 8,419.20
  4. Step 4: Simplify right side
    15,133.72x = 175,828,456.19
  5. Step 5: Solve for x
    x = 175,828,456.19/15,133.72
  6. Step 6: Final answer
    x = 11,618.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.