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Finding the Fourth Proportional to 20,737.98, 31,113.09 and 6,700.23

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Solution

The fourth proportional to 20,737.98, 31,113.09 and 6,700.23 is: 10,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.98 : 31,113.09 = 6,700.23 : x
  2. Step 2: Convert to fraction form
    20,737.98/31,113.09 = 6,700.23/x
  3. Step 3: Cross multiply
    20,737.98x = 31,113.09 × 6,700.23
  4. Step 4: Simplify right side
    20,737.98x = 208,464,859.01
  5. Step 5: Solve for x
    x = 208,464,859.01/20,737.98
  6. Step 6: Final answer
    x = 10,052.32

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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.