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Finding the Fourth Proportional to 18,142.83, 27,206.04 and 6,456.36

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Solution

The fourth proportional to 18,142.83, 27,206.04 and 6,456.36 is: 9,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.83 : 27,206.04 = 6,456.36 : x
  2. Step 2: Convert to fraction form
    18,142.83/27,206.04 = 6,456.36/x
  3. Step 3: Cross multiply
    18,142.83x = 27,206.04 × 6,456.36
  4. Step 4: Simplify right side
    18,142.83x = 175,651,988.41
  5. Step 5: Solve for x
    x = 175,651,988.41/18,142.83
  6. Step 6: Final answer
    x = 9,681.62

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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.