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Finding the Fourth Proportional to 18,565.77, 27,824.01 and 16,089

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Solution

The fourth proportional to 18,565.77, 27,824.01 and 16,089 is: 24,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.77 : 27,824.01 = 16,089 : x
  2. Step 2: Convert to fraction form
    18,565.77/27,824.01 = 16,089/x
  3. Step 3: Cross multiply
    18,565.77x = 27,824.01 × 16,089
  4. Step 4: Simplify right side
    18,565.77x = 447,660,496.89
  5. Step 5: Solve for x
    x = 447,660,496.89/18,565.77
  6. Step 6: Final answer
    x = 24,112.14

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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.