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Finding the Fourth Proportional to 13,202.32, 19,806.78 and 9,314.32

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Solution

The fourth proportional to 13,202.32, 19,806.78 and 9,314.32 is: 13,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.32 : 19,806.78 = 9,314.32 : x
  2. Step 2: Convert to fraction form
    13,202.32/19,806.78 = 9,314.32/x
  3. Step 3: Cross multiply
    13,202.32x = 19,806.78 × 9,314.32
  4. Step 4: Simplify right side
    13,202.32x = 184,486,687.09
  5. Step 5: Solve for x
    x = 184,486,687.09/13,202.32
  6. Step 6: Final answer
    x = 13,973.81

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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.