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Finding the Fourth Proportional to 12,019.28, 18,005.42 and 8,270.39

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Solution

The fourth proportional to 12,019.28, 18,005.42 and 8,270.39 is: 12,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.28 : 18,005.42 = 8,270.39 : x
  2. Step 2: Convert to fraction form
    12,019.28/18,005.42 = 8,270.39/x
  3. Step 3: Cross multiply
    12,019.28x = 18,005.42 × 8,270.39
  4. Step 4: Simplify right side
    12,019.28x = 148,911,714.13
  5. Step 5: Solve for x
    x = 148,911,714.13/12,019.28
  6. Step 6: Final answer
    x = 12,389.41

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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.