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Finding the Fourth Proportional to 20,653.42, 30,980.10 and 5,862.46

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Solution

The fourth proportional to 20,653.42, 30,980.10 and 5,862.46 is: 8,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,653.42 : 30,980.10 = 5,862.46 : x
  2. Step 2: Convert to fraction form
    20,653.42/30,980.10 = 5,862.46/x
  3. Step 3: Cross multiply
    20,653.42x = 30,980.10 × 5,862.46
  4. Step 4: Simplify right side
    20,653.42x = 181,619,597.05
  5. Step 5: Solve for x
    x = 181,619,597.05/20,653.42
  6. Step 6: Final answer
    x = 8,793.68

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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.