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Finding the Fourth Proportional to 22,122.72, 30,520.80 and 13,724.64

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Solution

The fourth proportional to 22,122.72, 30,520.80 and 13,724.64 is: 18,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,122.72 : 30,520.80 = 13,724.64 : x
  2. Step 2: Convert to fraction form
    22,122.72/30,520.80 = 13,724.64/x
  3. Step 3: Cross multiply
    22,122.72x = 30,520.80 × 13,724.64
  4. Step 4: Simplify right side
    22,122.72x = 418,886,992.51
  5. Step 5: Solve for x
    x = 418,886,992.51/22,122.72
  6. Step 6: Final answer
    x = 18,934.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.