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Finding the Fourth Proportional to 38,298.27, 57,448.94 and 13,340.84

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Solution

The fourth proportional to 38,298.27, 57,448.94 and 13,340.84 is: 20,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,298.27 : 57,448.94 = 13,340.84 : x
  2. Step 2: Convert to fraction form
    38,298.27/57,448.94 = 13,340.84/x
  3. Step 3: Cross multiply
    38,298.27x = 57,448.94 × 13,340.84
  4. Step 4: Simplify right side
    38,298.27x = 766,417,006.44
  5. Step 5: Solve for x
    x = 766,417,006.44/38,298.27
  6. Step 6: Final answer
    x = 20,011.79

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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.