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Finding the Fourth Proportional to 16,524.30, 22,803.38 and 8,970.47

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Solution

The fourth proportional to 16,524.30, 22,803.38 and 8,970.47 is: 12,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.30 : 22,803.38 = 8,970.47 : x
  2. Step 2: Convert to fraction form
    16,524.30/22,803.38 = 8,970.47/x
  3. Step 3: Cross multiply
    16,524.30x = 22,803.38 × 8,970.47
  4. Step 4: Simplify right side
    16,524.30x = 204,556,996.47
  5. Step 5: Solve for x
    x = 204,556,996.47/16,524.30
  6. Step 6: Final answer
    x = 12,379.16

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Why These Related Problems?

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