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Finding the Fourth Proportional to 21,134.12, 31,706.18 and 6,902.52

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Solution

The fourth proportional to 21,134.12, 31,706.18 and 6,902.52 is: 10,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134.12 : 31,706.18 = 6,902.52 : x
  2. Step 2: Convert to fraction form
    21,134.12/31,706.18 = 6,902.52/x
  3. Step 3: Cross multiply
    21,134.12x = 31,706.18 × 6,902.52
  4. Step 4: Simplify right side
    21,134.12x = 218,852,507.06
  5. Step 5: Solve for x
    x = 218,852,507.06/21,134.12
  6. Step 6: Final answer
    x = 10,355.41

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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.