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Finding the Fourth Proportional to 16,435, 24,647.28 and 5,339.12

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Solution

The fourth proportional to 16,435, 24,647.28 and 5,339.12 is: 8,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435 : 24,647.28 = 5,339.12 : x
  2. Step 2: Convert to fraction form
    16,435/24,647.28 = 5,339.12/x
  3. Step 3: Cross multiply
    16,435x = 24,647.28 × 5,339.12
  4. Step 4: Simplify right side
    16,435x = 131,594,785.59
  5. Step 5: Solve for x
    x = 131,594,785.59/16,435
  6. Step 6: Final answer
    x = 8,006.98

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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.