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Finding the Fourth Proportional to 16,078.05, 24,113.43 and 7,188.71

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Solution

The fourth proportional to 16,078.05, 24,113.43 and 7,188.71 is: 10,781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.05 : 24,113.43 = 7,188.71 : x
  2. Step 2: Convert to fraction form
    16,078.05/24,113.43 = 7,188.71/x
  3. Step 3: Cross multiply
    16,078.05x = 24,113.43 × 7,188.71
  4. Step 4: Simplify right side
    16,078.05x = 173,344,334.81
  5. Step 5: Solve for x
    x = 173,344,334.81/16,078.05
  6. Step 6: Final answer
    x = 10,781.43

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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.