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Finding the Fourth Proportional to 16,083.40, 24,162.17 and 15,419.11

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Solution

The fourth proportional to 16,083.40, 24,162.17 and 15,419.11 is: 23,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.40 : 24,162.17 = 15,419.11 : x
  2. Step 2: Convert to fraction form
    16,083.40/24,162.17 = 15,419.11/x
  3. Step 3: Cross multiply
    16,083.40x = 24,162.17 × 15,419.11
  4. Step 4: Simplify right side
    16,083.40x = 372,559,157.07
  5. Step 5: Solve for x
    x = 372,559,157.07/16,083.40
  6. Step 6: Final answer
    x = 23,164.20

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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.