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Finding the Fourth Proportional to 16,184.68, 24,286.29 and 7,419.67

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Solution

The fourth proportional to 16,184.68, 24,286.29 and 7,419.67 is: 11,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.68 : 24,286.29 = 7,419.67 : x
  2. Step 2: Convert to fraction form
    16,184.68/24,286.29 = 7,419.67/x
  3. Step 3: Cross multiply
    16,184.68x = 24,286.29 × 7,419.67
  4. Step 4: Simplify right side
    16,184.68x = 180,196,257.32
  5. Step 5: Solve for x
    x = 180,196,257.32/16,184.68
  6. Step 6: Final answer
    x = 11,133.75

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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.