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Finding the Fourth Proportional to 22,970.38, 31,693.70 and 13,034.38

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Solution

The fourth proportional to 22,970.38, 31,693.70 and 13,034.38 is: 17,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.38 : 31,693.70 = 13,034.38 : x
  2. Step 2: Convert to fraction form
    22,970.38/31,693.70 = 13,034.38/x
  3. Step 3: Cross multiply
    22,970.38x = 31,693.70 × 13,034.38
  4. Step 4: Simplify right side
    22,970.38x = 413,107,729.41
  5. Step 5: Solve for x
    x = 413,107,729.41/22,970.38
  6. Step 6: Final answer
    x = 17,984.37

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1.5x scale

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.