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Finding the Fourth Proportional to 20,156.68, 30,235.02 and 7,673.80

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Solution

The fourth proportional to 20,156.68, 30,235.02 and 7,673.80 is: 11,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.68 : 30,235.02 = 7,673.80 : x
  2. Step 2: Convert to fraction form
    20,156.68/30,235.02 = 7,673.80/x
  3. Step 3: Cross multiply
    20,156.68x = 30,235.02 × 7,673.80
  4. Step 4: Simplify right side
    20,156.68x = 232,017,496.48
  5. Step 5: Solve for x
    x = 232,017,496.48/20,156.68
  6. Step 6: Final answer
    x = 11,510.70

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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.