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Finding the Fourth Proportional to 16,178.76, 24,274.62 and 5,087.16

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Solution

The fourth proportional to 16,178.76, 24,274.62 and 5,087.16 is: 7,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.76 : 24,274.62 = 5,087.16 : x
  2. Step 2: Convert to fraction form
    16,178.76/24,274.62 = 5,087.16/x
  3. Step 3: Cross multiply
    16,178.76x = 24,274.62 × 5,087.16
  4. Step 4: Simplify right side
    16,178.76x = 123,488,875.88
  5. Step 5: Solve for x
    x = 123,488,875.88/16,178.76
  6. Step 6: Final answer
    x = 7,632.78

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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.