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Finding the Fourth Proportional to 25,897.41, 38,799.09 and 11,869.11

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Solution

The fourth proportional to 25,897.41, 38,799.09 and 11,869.11 is: 17,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.41 : 38,799.09 = 11,869.11 : x
  2. Step 2: Convert to fraction form
    25,897.41/38,799.09 = 11,869.11/x
  3. Step 3: Cross multiply
    25,897.41x = 38,799.09 × 11,869.11
  4. Step 4: Simplify right side
    25,897.41x = 460,510,667.11
  5. Step 5: Solve for x
    x = 460,510,667.11/25,897.41
  6. Step 6: Final answer
    x = 17,782.11

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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.