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Finding the Fourth Proportional to 20,805.60, 31,208.40 and 7,667.40

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Solution

The fourth proportional to 20,805.60, 31,208.40 and 7,667.40 is: 11,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.60 : 31,208.40 = 7,667.40 : x
  2. Step 2: Convert to fraction form
    20,805.60/31,208.40 = 7,667.40/x
  3. Step 3: Cross multiply
    20,805.60x = 31,208.40 × 7,667.40
  4. Step 4: Simplify right side
    20,805.60x = 239,287,286.16
  5. Step 5: Solve for x
    x = 239,287,286.16/20,805.60
  6. Step 6: Final answer
    x = 11,501.10

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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.