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Finding the Fourth Proportional to 16,223.76, 24,326.73 and 9,986.09

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Solution

The fourth proportional to 16,223.76, 24,326.73 and 9,986.09 is: 14,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.76 : 24,326.73 = 9,986.09 : x
  2. Step 2: Convert to fraction form
    16,223.76/24,326.73 = 9,986.09/x
  3. Step 3: Cross multiply
    16,223.76x = 24,326.73 × 9,986.09
  4. Step 4: Simplify right side
    16,223.76x = 242,928,793.55
  5. Step 5: Solve for x
    x = 242,928,793.55/16,223.76
  6. Step 6: Final answer
    x = 14,973.64

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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.