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Finding the Fourth Proportional to 20,123.92, 30,186.16 and 6,084.06

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Solution

The fourth proportional to 20,123.92, 30,186.16 and 6,084.06 is: 9,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.92 : 30,186.16 = 6,084.06 : x
  2. Step 2: Convert to fraction form
    20,123.92/30,186.16 = 6,084.06/x
  3. Step 3: Cross multiply
    20,123.92x = 30,186.16 × 6,084.06
  4. Step 4: Simplify right side
    20,123.92x = 183,654,408.61
  5. Step 5: Solve for x
    x = 183,654,408.61/20,123.92
  6. Step 6: Final answer
    x = 9,126.17

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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.