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Finding the Fourth Proportional to 23,839.38, 32,898.69 and 13,903.38

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Solution

The fourth proportional to 23,839.38, 32,898.69 and 13,903.38 is: 19,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,839.38 : 32,898.69 = 13,903.38 : x
  2. Step 2: Convert to fraction form
    23,839.38/32,898.69 = 13,903.38/x
  3. Step 3: Cross multiply
    23,839.38x = 32,898.69 × 13,903.38
  4. Step 4: Simplify right side
    23,839.38x = 457,402,988.57
  5. Step 5: Solve for x
    x = 457,402,988.57/23,839.38
  6. Step 6: Final answer
    x = 19,186.87

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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.