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Finding the Fourth Proportional to 14,507.76, 20,027.52 and 8,537.52

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Solution

The fourth proportional to 14,507.76, 20,027.52 and 8,537.52 is: 11,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.76 : 20,027.52 = 8,537.52 : x
  2. Step 2: Convert to fraction form
    14,507.76/20,027.52 = 8,537.52/x
  3. Step 3: Cross multiply
    14,507.76x = 20,027.52 × 8,537.52
  4. Step 4: Simplify right side
    14,507.76x = 170,985,352.55
  5. Step 5: Solve for x
    x = 170,985,352.55/14,507.76
  6. Step 6: Final answer
    x = 11,785.79

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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.