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Finding the Fourth Proportional to 16,539.54, 24,813.35 and 8,223.47

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Solution

The fourth proportional to 16,539.54, 24,813.35 and 8,223.47 is: 12,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.54 : 24,813.35 = 8,223.47 : x
  2. Step 2: Convert to fraction form
    16,539.54/24,813.35 = 8,223.47/x
  3. Step 3: Cross multiply
    16,539.54x = 24,813.35 × 8,223.47
  4. Step 4: Simplify right side
    16,539.54x = 204,051,839.32
  5. Step 5: Solve for x
    x = 204,051,839.32/16,539.54
  6. Step 6: Final answer
    x = 12,337.21

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1.5x scale

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.