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Finding the Fourth Proportional to 16,288.86, 22,467.04 and 14,948.80

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Solution

The fourth proportional to 16,288.86, 22,467.04 and 14,948.80 is: 20,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.86 : 22,467.04 = 14,948.80 : x
  2. Step 2: Convert to fraction form
    16,288.86/22,467.04 = 14,948.80/x
  3. Step 3: Cross multiply
    16,288.86x = 22,467.04 × 14,948.80
  4. Step 4: Simplify right side
    16,288.86x = 335,855,100.47
  5. Step 5: Solve for x
    x = 335,855,100.47/16,288.86
  6. Step 6: Final answer
    x = 20,618.71

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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.