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Finding the Fourth Proportional to 11,862.14, 17,822.40 and 8,931.56

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Solution

The fourth proportional to 11,862.14, 17,822.40 and 8,931.56 is: 13,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.14 : 17,822.40 = 8,931.56 : x
  2. Step 2: Convert to fraction form
    11,862.14/17,822.40 = 8,931.56/x
  3. Step 3: Cross multiply
    11,862.14x = 17,822.40 × 8,931.56
  4. Step 4: Simplify right side
    11,862.14x = 159,181,834.94
  5. Step 5: Solve for x
    x = 159,181,834.94/11,862.14
  6. Step 6: Final answer
    x = 13,419.32

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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.