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Finding the Fourth Proportional to 16,324.86, 22,521.84 and 10,657.80

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Solution

The fourth proportional to 16,324.86, 22,521.84 and 10,657.80 is: 14,703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324.86 : 22,521.84 = 10,657.80 : x
  2. Step 2: Convert to fraction form
    16,324.86/22,521.84 = 10,657.80/x
  3. Step 3: Cross multiply
    16,324.86x = 22,521.84 × 10,657.80
  4. Step 4: Simplify right side
    16,324.86x = 240,033,266.35
  5. Step 5: Solve for x
    x = 240,033,266.35/16,324.86
  6. Step 6: Final answer
    x = 14,703.54

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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.