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Finding the Fourth Proportional to 22,837.60, 34,234.80 and 13,484.80

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Solution

The fourth proportional to 22,837.60, 34,234.80 and 13,484.80 is: 20,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,837.60 : 34,234.80 = 13,484.80 : x
  2. Step 2: Convert to fraction form
    22,837.60/34,234.80 = 13,484.80/x
  3. Step 3: Cross multiply
    22,837.60x = 34,234.80 × 13,484.80
  4. Step 4: Simplify right side
    22,837.60x = 461,649,431.04
  5. Step 5: Solve for x
    x = 461,649,431.04/22,837.60
  6. Step 6: Final answer
    x = 20,214.45

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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.