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Finding the Fourth Proportional to 20,902.51, 31,355.39 and 5,320

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Solution

The fourth proportional to 20,902.51, 31,355.39 and 5,320 is: 7,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.51 : 31,355.39 = 5,320 : x
  2. Step 2: Convert to fraction form
    20,902.51/31,355.39 = 5,320/x
  3. Step 3: Cross multiply
    20,902.51x = 31,355.39 × 5,320
  4. Step 4: Simplify right side
    20,902.51x = 166,810,674.80
  5. Step 5: Solve for x
    x = 166,810,674.80/20,902.51
  6. Step 6: Final answer
    x = 7,980.41

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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.