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Finding the Fourth Proportional to 21,853.32, 32,728.92 and 20,089.14

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Solution

The fourth proportional to 21,853.32, 32,728.92 and 20,089.14 is: 30,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.32 : 32,728.92 = 20,089.14 : x
  2. Step 2: Convert to fraction form
    21,853.32/32,728.92 = 20,089.14/x
  3. Step 3: Cross multiply
    21,853.32x = 32,728.92 × 20,089.14
  4. Step 4: Simplify right side
    21,853.32x = 657,495,855.93
  5. Step 5: Solve for x
    x = 657,495,855.93/21,853.32
  6. Step 6: Final answer
    x = 30,086.77

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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.