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Finding the Fourth Proportional to 20,258.58, 30,378.96 and 9,164.82

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Solution

The fourth proportional to 20,258.58, 30,378.96 and 9,164.82 is: 13,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,258.58 : 30,378.96 = 9,164.82 : x
  2. Step 2: Convert to fraction form
    20,258.58/30,378.96 = 9,164.82/x
  3. Step 3: Cross multiply
    20,258.58x = 30,378.96 × 9,164.82
  4. Step 4: Simplify right side
    20,258.58x = 278,417,700.19
  5. Step 5: Solve for x
    x = 278,417,700.19/20,258.58
  6. Step 6: Final answer
    x = 13,743.20

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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.