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Finding the Fourth Proportional to 20,797.62, 31,178.74 and 9,102.10

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Solution

The fourth proportional to 20,797.62, 31,178.74 and 9,102.10 is: 13,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.62 : 31,178.74 = 9,102.10 : x
  2. Step 2: Convert to fraction form
    20,797.62/31,178.74 = 9,102.10/x
  3. Step 3: Cross multiply
    20,797.62x = 31,178.74 × 9,102.10
  4. Step 4: Simplify right side
    20,797.62x = 283,791,853.46
  5. Step 5: Solve for x
    x = 283,791,853.46/20,797.62
  6. Step 6: Final answer
    x = 13,645.40

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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.