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Finding the Fourth Proportional to 12,574.67, 18,864.36 and 6,001.31

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Solution

The fourth proportional to 12,574.67, 18,864.36 and 6,001.31 is: 9,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.67 : 18,864.36 = 6,001.31 : x
  2. Step 2: Convert to fraction form
    12,574.67/18,864.36 = 6,001.31/x
  3. Step 3: Cross multiply
    12,574.67x = 18,864.36 × 6,001.31
  4. Step 4: Simplify right side
    12,574.67x = 113,210,919.47
  5. Step 5: Solve for x
    x = 113,210,919.47/12,574.67
  6. Step 6: Final answer
    x = 9,003.10

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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.