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Finding the Fourth Proportional to 20,225.40, 30,338.10 and 11,009.40

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Solution

The fourth proportional to 20,225.40, 30,338.10 and 11,009.40 is: 16,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.40 : 30,338.10 = 11,009.40 : x
  2. Step 2: Convert to fraction form
    20,225.40/30,338.10 = 11,009.40/x
  3. Step 3: Cross multiply
    20,225.40x = 30,338.10 × 11,009.40
  4. Step 4: Simplify right side
    20,225.40x = 334,004,278.14
  5. Step 5: Solve for x
    x = 334,004,278.14/20,225.40
  6. Step 6: Final answer
    x = 16,514.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.