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Finding the Fourth Proportional to 22,076.56, 30,464.13 and 13,124.80

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Solution

The fourth proportional to 22,076.56, 30,464.13 and 13,124.80 is: 18,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,076.56 : 30,464.13 = 13,124.80 : x
  2. Step 2: Convert to fraction form
    22,076.56/30,464.13 = 13,124.80/x
  3. Step 3: Cross multiply
    22,076.56x = 30,464.13 × 13,124.80
  4. Step 4: Simplify right side
    22,076.56x = 399,835,613.42
  5. Step 5: Solve for x
    x = 399,835,613.42/22,076.56
  6. Step 6: Final answer
    x = 18,111.32

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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.