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Finding the Fourth Proportional to 22,123.64, 33,107.47 and 13,807.55

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Solution

The fourth proportional to 22,123.64, 33,107.47 and 13,807.55 is: 20,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,123.64 : 33,107.47 = 13,807.55 : x
  2. Step 2: Convert to fraction form
    22,123.64/33,107.47 = 13,807.55/x
  3. Step 3: Cross multiply
    22,123.64x = 33,107.47 × 13,807.55
  4. Step 4: Simplify right side
    22,123.64x = 457,133,047.40
  5. Step 5: Solve for x
    x = 457,133,047.40/22,123.64
  6. Step 6: Final answer
    x = 20,662.65

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