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Finding the Fourth Proportional to 27,665.47, 41,498.49 and 7,943.98

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Solution

The fourth proportional to 27,665.47, 41,498.49 and 7,943.98 is: 11,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.47 : 41,498.49 = 7,943.98 : x
  2. Step 2: Convert to fraction form
    27,665.47/41,498.49 = 7,943.98/x
  3. Step 3: Cross multiply
    27,665.47x = 41,498.49 × 7,943.98
  4. Step 4: Simplify right side
    27,665.47x = 329,663,174.59
  5. Step 5: Solve for x
    x = 329,663,174.59/27,665.47
  6. Step 6: Final answer
    x = 11,916.05

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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.