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Finding the Fourth Proportional to 19,589.61, 27,041.37 and 13,219.97

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Solution

The fourth proportional to 19,589.61, 27,041.37 and 13,219.97 is: 18,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.61 : 27,041.37 = 13,219.97 : x
  2. Step 2: Convert to fraction form
    19,589.61/27,041.37 = 13,219.97/x
  3. Step 3: Cross multiply
    19,589.61x = 27,041.37 × 13,219.97
  4. Step 4: Simplify right side
    19,589.61x = 357,486,115.93
  5. Step 5: Solve for x
    x = 357,486,115.93/19,589.61
  6. Step 6: Final answer
    x = 18,248.76

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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.