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Finding the Fourth Proportional to 13,777.38, 18,995.58 and 11,397.24

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Solution

The fourth proportional to 13,777.38, 18,995.58 and 11,397.24 is: 15,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.38 : 18,995.58 = 11,397.24 : x
  2. Step 2: Convert to fraction form
    13,777.38/18,995.58 = 11,397.24/x
  3. Step 3: Cross multiply
    13,777.38x = 18,995.58 × 11,397.24
  4. Step 4: Simplify right side
    13,777.38x = 216,497,184.20
  5. Step 5: Solve for x
    x = 216,497,184.20/13,777.38
  6. Step 6: Final answer
    x = 15,713.96

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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.