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Finding the Fourth Proportional to 16,545.64, 24,822.64 and 4,858.86

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Solution

The fourth proportional to 16,545.64, 24,822.64 and 4,858.86 is: 7,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.64 : 24,822.64 = 4,858.86 : x
  2. Step 2: Convert to fraction form
    16,545.64/24,822.64 = 4,858.86/x
  3. Step 3: Cross multiply
    16,545.64x = 24,822.64 × 4,858.86
  4. Step 4: Simplify right side
    16,545.64x = 120,609,732.59
  5. Step 5: Solve for x
    x = 120,609,732.59/16,545.64
  6. Step 6: Final answer
    x = 7,289.52

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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.