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Finding the Fourth Proportional to 16,339.86, 24,487.11 and 8,533.08

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Solution

The fourth proportional to 16,339.86, 24,487.11 and 8,533.08 is: 12,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.86 : 24,487.11 = 8,533.08 : x
  2. Step 2: Convert to fraction form
    16,339.86/24,487.11 = 8,533.08/x
  3. Step 3: Cross multiply
    16,339.86x = 24,487.11 × 8,533.08
  4. Step 4: Simplify right side
    16,339.86x = 208,950,468.60
  5. Step 5: Solve for x
    x = 208,950,468.60/16,339.86
  6. Step 6: Final answer
    x = 12,787.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.