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Finding the Fourth Proportional to 27,006.08, 40,499.40 and 11,424.80

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Solution

The fourth proportional to 27,006.08, 40,499.40 and 11,424.80 is: 17,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006.08 : 40,499.40 = 11,424.80 : x
  2. Step 2: Convert to fraction form
    27,006.08/40,499.40 = 11,424.80/x
  3. Step 3: Cross multiply
    27,006.08x = 40,499.40 × 11,424.80
  4. Step 4: Simplify right side
    27,006.08x = 462,697,545.12
  5. Step 5: Solve for x
    x = 462,697,545.12/27,006.08
  6. Step 6: Final answer
    x = 17,133.09

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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.