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Finding the Fourth Proportional to 20,298.40, 30,426.84 and 11,514.76

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Solution

The fourth proportional to 20,298.40, 30,426.84 and 11,514.76 is: 17,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.40 : 30,426.84 = 11,514.76 : x
  2. Step 2: Convert to fraction form
    20,298.40/30,426.84 = 11,514.76/x
  3. Step 3: Cross multiply
    20,298.40x = 30,426.84 × 11,514.76
  4. Step 4: Simplify right side
    20,298.40x = 350,357,684.09
  5. Step 5: Solve for x
    x = 350,357,684.09/20,298.40
  6. Step 6: Final answer
    x = 17,260.36

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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.