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Finding the Fourth Proportional to 21,853.60, 32,812.80 and 13,105.60

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Solution

The fourth proportional to 21,853.60, 32,812.80 and 13,105.60 is: 19,677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.60 : 32,812.80 = 13,105.60 : x
  2. Step 2: Convert to fraction form
    21,853.60/32,812.80 = 13,105.60/x
  3. Step 3: Cross multiply
    21,853.60x = 32,812.80 × 13,105.60
  4. Step 4: Simplify right side
    21,853.60x = 430,031,431.68
  5. Step 5: Solve for x
    x = 430,031,431.68/21,853.60
  6. Step 6: Final answer
    x = 19,677.83

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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.