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Finding the Fourth Proportional to 19,855.81, 27,398.98 and 11,897.83

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Solution

The fourth proportional to 19,855.81, 27,398.98 and 11,897.83 is: 16,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,855.81 : 27,398.98 = 11,897.83 : x
  2. Step 2: Convert to fraction form
    19,855.81/27,398.98 = 11,897.83/x
  3. Step 3: Cross multiply
    19,855.81x = 27,398.98 × 11,897.83
  4. Step 4: Simplify right side
    19,855.81x = 325,988,406.21
  5. Step 5: Solve for x
    x = 325,988,406.21/19,855.81
  6. Step 6: Final answer
    x = 16,417.78

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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.