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Finding the Fourth Proportional to 12,812.38, 17,693.28 and 12,113.46

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Solution

The fourth proportional to 12,812.38, 17,693.28 and 12,113.46 is: 16,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.38 : 17,693.28 = 12,113.46 : x
  2. Step 2: Convert to fraction form
    12,812.38/17,693.28 = 12,113.46/x
  3. Step 3: Cross multiply
    12,812.38x = 17,693.28 × 12,113.46
  4. Step 4: Simplify right side
    12,812.38x = 214,326,839.55
  5. Step 5: Solve for x
    x = 214,326,839.55/12,812.38
  6. Step 6: Final answer
    x = 16,728.11

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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.