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Finding the Fourth Proportional to 20,931.70, 31,401.60 and 6,141.10

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Solution

The fourth proportional to 20,931.70, 31,401.60 and 6,141.10 is: 9,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,931.70 : 31,401.60 = 6,141.10 : x
  2. Step 2: Convert to fraction form
    20,931.70/31,401.60 = 6,141.10/x
  3. Step 3: Cross multiply
    20,931.70x = 31,401.60 × 6,141.10
  4. Step 4: Simplify right side
    20,931.70x = 192,840,365.76
  5. Step 5: Solve for x
    x = 192,840,365.76/20,931.70
  6. Step 6: Final answer
    x = 9,212.84

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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.