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Finding the Fourth Proportional to 16,054.78, 24,073.50 and 7,284.91

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Solution

The fourth proportional to 16,054.78, 24,073.50 and 7,284.91 is: 10,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.78 : 24,073.50 = 7,284.91 : x
  2. Step 2: Convert to fraction form
    16,054.78/24,073.50 = 7,284.91/x
  3. Step 3: Cross multiply
    16,054.78x = 24,073.50 × 7,284.91
  4. Step 4: Simplify right side
    16,054.78x = 175,373,280.89
  5. Step 5: Solve for x
    x = 175,373,280.89/16,054.78
  6. Step 6: Final answer
    x = 10,923.43

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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.