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Finding the Fourth Proportional to 23,112, 31,898.34 and 14,164.44

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Solution

The fourth proportional to 23,112, 31,898.34 and 14,164.44 is: 19,549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112 : 31,898.34 = 14,164.44 : x
  2. Step 2: Convert to fraction form
    23,112/31,898.34 = 14,164.44/x
  3. Step 3: Cross multiply
    23,112x = 31,898.34 × 14,164.44
  4. Step 4: Simplify right side
    23,112x = 451,822,123.03
  5. Step 5: Solve for x
    x = 451,822,123.03/23,112
  6. Step 6: Final answer
    x = 19,549.24

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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.