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Finding the Fourth Proportional to 21,157.12, 31,737.22 and 7,117.09

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Solution

The fourth proportional to 21,157.12, 31,737.22 and 7,117.09 is: 10,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.12 : 31,737.22 = 7,117.09 : x
  2. Step 2: Convert to fraction form
    21,157.12/31,737.22 = 7,117.09/x
  3. Step 3: Cross multiply
    21,157.12x = 31,737.22 × 7,117.09
  4. Step 4: Simplify right side
    21,157.12x = 225,876,643.21
  5. Step 5: Solve for x
    x = 225,876,643.21/21,157.12
  6. Step 6: Final answer
    x = 10,676.15

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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.