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Finding the Fourth Proportional to 20,693.66, 31,035.35 and 5,902.71

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Solution

The fourth proportional to 20,693.66, 31,035.35 and 5,902.71 is: 8,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,693.66 : 31,035.35 = 5,902.71 : x
  2. Step 2: Convert to fraction form
    20,693.66/31,035.35 = 5,902.71/x
  3. Step 3: Cross multiply
    20,693.66x = 31,035.35 × 5,902.71
  4. Step 4: Simplify right side
    20,693.66x = 183,192,670.80
  5. Step 5: Solve for x
    x = 183,192,670.80/20,693.66
  6. Step 6: Final answer
    x = 8,852.60

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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.