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Finding the Fourth Proportional to 23,567.72, 32,519.76 and 13,493.84

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Solution

The fourth proportional to 23,567.72, 32,519.76 and 13,493.84 is: 18,619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.72 : 32,519.76 = 13,493.84 : x
  2. Step 2: Convert to fraction form
    23,567.72/32,519.76 = 13,493.84/x
  3. Step 3: Cross multiply
    23,567.72x = 32,519.76 × 13,493.84
  4. Step 4: Simplify right side
    23,567.72x = 438,816,438.28
  5. Step 5: Solve for x
    x = 438,816,438.28/23,567.72
  6. Step 6: Final answer
    x = 18,619.38

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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.