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Finding the Fourth Proportional to 24,156.11, 36,193.16 and 11,682

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Solution

The fourth proportional to 24,156.11, 36,193.16 and 11,682 is: 17,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,156.11 : 36,193.16 = 11,682 : x
  2. Step 2: Convert to fraction form
    24,156.11/36,193.16 = 11,682/x
  3. Step 3: Cross multiply
    24,156.11x = 36,193.16 × 11,682
  4. Step 4: Simplify right side
    24,156.11x = 422,808,436.71
  5. Step 5: Solve for x
    x = 422,808,436.71/24,156.11
  6. Step 6: Final answer
    x = 17,503.17

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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.