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Finding the Fourth Proportional to 20,123.57, 30,178.51 and 6,972.87

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Solution

The fourth proportional to 20,123.57, 30,178.51 and 6,972.87 is: 10,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.57 : 30,178.51 = 6,972.87 : x
  2. Step 2: Convert to fraction form
    20,123.57/30,178.51 = 6,972.87/x
  3. Step 3: Cross multiply
    20,123.57x = 30,178.51 × 6,972.87
  4. Step 4: Simplify right side
    20,123.57x = 210,430,676.13
  5. Step 5: Solve for x
    x = 210,430,676.13/20,123.57
  6. Step 6: Final answer
    x = 10,456.93

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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.