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Finding the Fourth Proportional to 16,536.52, 24,807.51 and 8,216.80

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Solution

The fourth proportional to 16,536.52, 24,807.51 and 8,216.80 is: 12,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.52 : 24,807.51 = 8,216.80 : x
  2. Step 2: Convert to fraction form
    16,536.52/24,807.51 = 8,216.80/x
  3. Step 3: Cross multiply
    16,536.52x = 24,807.51 × 8,216.80
  4. Step 4: Simplify right side
    16,536.52x = 203,838,348.17
  5. Step 5: Solve for x
    x = 203,838,348.17/16,536.52
  6. Step 6: Final answer
    x = 12,326.56

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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.