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Finding the Fourth Proportional to 21,143.46, 31,707.54 and 7,099.29

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Solution

The fourth proportional to 21,143.46, 31,707.54 and 7,099.29 is: 10,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.46 : 31,707.54 = 7,099.29 : x
  2. Step 2: Convert to fraction form
    21,143.46/31,707.54 = 7,099.29/x
  3. Step 3: Cross multiply
    21,143.46x = 31,707.54 × 7,099.29
  4. Step 4: Simplify right side
    21,143.46x = 225,101,021.65
  5. Step 5: Solve for x
    x = 225,101,021.65/21,143.46
  6. Step 6: Final answer
    x = 10,646.37

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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.