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Finding the Fourth Proportional to 38,458.34, 57,693.84 and 11,803.66

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Solution

The fourth proportional to 38,458.34, 57,693.84 and 11,803.66 is: 17,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,458.34 : 57,693.84 = 11,803.66 : x
  2. Step 2: Convert to fraction form
    38,458.34/57,693.84 = 11,803.66/x
  3. Step 3: Cross multiply
    38,458.34x = 57,693.84 × 11,803.66
  4. Step 4: Simplify right side
    38,458.34x = 680,998,471.45
  5. Step 5: Solve for x
    x = 680,998,471.45/38,458.34
  6. Step 6: Final answer
    x = 17,707.43

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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.