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Finding the Fourth Proportional to 14,509.44, 20,023.02 and 8,221.82

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Solution

The fourth proportional to 14,509.44, 20,023.02 and 8,221.82 is: 11,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.44 : 20,023.02 = 8,221.82 : x
  2. Step 2: Convert to fraction form
    14,509.44/20,023.02 = 8,221.82/x
  3. Step 3: Cross multiply
    14,509.44x = 20,023.02 × 8,221.82
  4. Step 4: Simplify right side
    14,509.44x = 164,625,666.30
  5. Step 5: Solve for x
    x = 164,625,666.30/14,509.44
  6. Step 6: Final answer
    x = 11,346.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.