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Finding the Fourth Proportional to 27,180.87, 37,509.98 and 16,424.25

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Solution

The fourth proportional to 27,180.87, 37,509.98 and 16,424.25 is: 22,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180.87 : 37,509.98 = 16,424.25 : x
  2. Step 2: Convert to fraction form
    27,180.87/37,509.98 = 16,424.25/x
  3. Step 3: Cross multiply
    27,180.87x = 37,509.98 × 16,424.25
  4. Step 4: Simplify right side
    27,180.87x = 616,073,289.02
  5. Step 5: Solve for x
    x = 616,073,289.02/27,180.87
  6. Step 6: Final answer
    x = 22,665.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.