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Finding the Fourth Proportional to 27,637.74, 41,456.48 and 7,916.36

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Solution

The fourth proportional to 27,637.74, 41,456.48 and 7,916.36 is: 11,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,637.74 : 41,456.48 = 7,916.36 : x
  2. Step 2: Convert to fraction form
    27,637.74/41,456.48 = 7,916.36/x
  3. Step 3: Cross multiply
    27,637.74x = 41,456.48 × 7,916.36
  4. Step 4: Simplify right side
    27,637.74x = 328,184,173.15
  5. Step 5: Solve for x
    x = 328,184,173.15/27,637.74
  6. Step 6: Final answer
    x = 11,874.49

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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.