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Finding the Fourth Proportional to 21,129.57, 31,699.22 and 7,091.46

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Solution

The fourth proportional to 21,129.57, 31,699.22 and 7,091.46 is: 10,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129.57 : 31,699.22 = 7,091.46 : x
  2. Step 2: Convert to fraction form
    21,129.57/31,699.22 = 7,091.46/x
  3. Step 3: Cross multiply
    21,129.57x = 31,699.22 × 7,091.46
  4. Step 4: Simplify right side
    21,129.57x = 224,793,715.20
  5. Step 5: Solve for x
    x = 224,793,715.20/21,129.57
  6. Step 6: Final answer
    x = 10,638.82

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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.