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Finding the Fourth Proportional to 12,838.69, 17,747.27 and 12,315.43

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Solution

The fourth proportional to 12,838.69, 17,747.27 and 12,315.43 is: 17,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.69 : 17,747.27 = 12,315.43 : x
  2. Step 2: Convert to fraction form
    12,838.69/17,747.27 = 12,315.43/x
  3. Step 3: Cross multiply
    12,838.69x = 17,747.27 × 12,315.43
  4. Step 4: Simplify right side
    12,838.69x = 218,565,261.38
  5. Step 5: Solve for x
    x = 218,565,261.38/12,838.69
  6. Step 6: Final answer
    x = 17,023.95

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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.