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Finding the Fourth Proportional to 22,123.90, 33,107.84 and 13,807.80

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Solution

The fourth proportional to 22,123.90, 33,107.84 and 13,807.80 is: 20,663.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,123.90 : 33,107.84 = 13,807.80 : x
  2. Step 2: Convert to fraction form
    22,123.90/33,107.84 = 13,807.80/x
  3. Step 3: Cross multiply
    22,123.90x = 33,107.84 × 13,807.80
  4. Step 4: Simplify right side
    22,123.90x = 457,146,433.15
  5. Step 5: Solve for x
    x = 457,146,433.15/22,123.90
  6. Step 6: Final answer
    x = 20,663.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.