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Finding the Fourth Proportional to 24,514.81, 33,803.38 and 16,948

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Solution

The fourth proportional to 24,514.81, 33,803.38 and 16,948 is: 23,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,514.81 : 33,803.38 = 16,948 : x
  2. Step 2: Convert to fraction form
    24,514.81/33,803.38 = 16,948/x
  3. Step 3: Cross multiply
    24,514.81x = 33,803.38 × 16,948
  4. Step 4: Simplify right side
    24,514.81x = 572,899,684.24
  5. Step 5: Solve for x
    x = 572,899,684.24/24,514.81
  6. Step 6: Final answer
    x = 23,369.53

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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.