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Finding the Fourth Proportional to 21,000.75, 31,501.13 and 7,149.75

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Solution

The fourth proportional to 21,000.75, 31,501.13 and 7,149.75 is: 10,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.75 : 31,501.13 = 7,149.75 : x
  2. Step 2: Convert to fraction form
    21,000.75/31,501.13 = 7,149.75/x
  3. Step 3: Cross multiply
    21,000.75x = 31,501.13 × 7,149.75
  4. Step 4: Simplify right side
    21,000.75x = 225,225,204.22
  5. Step 5: Solve for x
    x = 225,225,204.22/21,000.75
  6. Step 6: Final answer
    x = 10,724.63

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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.