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Finding the Fourth Proportional to 23,049.76, 31,803.60 and 13,613.44

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Solution

The fourth proportional to 23,049.76, 31,803.60 and 13,613.44 is: 18,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,049.76 : 31,803.60 = 13,613.44 : x
  2. Step 2: Convert to fraction form
    23,049.76/31,803.60 = 13,613.44/x
  3. Step 3: Cross multiply
    23,049.76x = 31,803.60 × 13,613.44
  4. Step 4: Simplify right side
    23,049.76x = 432,956,400.38
  5. Step 5: Solve for x
    x = 432,956,400.38/23,049.76
  6. Step 6: Final answer
    x = 18,783.55

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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.