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Finding the Fourth Proportional to 20,270.75, 30,398.38 and 9,737.77

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Solution

The fourth proportional to 20,270.75, 30,398.38 and 9,737.77 is: 14,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270.75 : 30,398.38 = 9,737.77 : x
  2. Step 2: Convert to fraction form
    20,270.75/30,398.38 = 9,737.77/x
  3. Step 3: Cross multiply
    20,270.75x = 30,398.38 × 9,737.77
  4. Step 4: Simplify right side
    20,270.75x = 296,012,280.82
  5. Step 5: Solve for x
    x = 296,012,280.82/20,270.75
  6. Step 6: Final answer
    x = 14,602.93

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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.