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Finding the Fourth Proportional to 14,509.59, 20,027.51 and 9,474.59

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Solution

The fourth proportional to 14,509.59, 20,027.51 and 9,474.59 is: 13,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.59 : 20,027.51 = 9,474.59 : x
  2. Step 2: Convert to fraction form
    14,509.59/20,027.51 = 9,474.59/x
  3. Step 3: Cross multiply
    14,509.59x = 20,027.51 × 9,474.59
  4. Step 4: Simplify right side
    14,509.59x = 189,752,519.73
  5. Step 5: Solve for x
    x = 189,752,519.73/14,509.59
  6. Step 6: Final answer
    x = 13,077.73

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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.