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Finding the Fourth Proportional to 21,048.92, 31,576.30 and 7,720.20

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Solution

The fourth proportional to 21,048.92, 31,576.30 and 7,720.20 is: 11,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.92 : 31,576.30 = 7,720.20 : x
  2. Step 2: Convert to fraction form
    21,048.92/31,576.30 = 7,720.20/x
  3. Step 3: Cross multiply
    21,048.92x = 31,576.30 × 7,720.20
  4. Step 4: Simplify right side
    21,048.92x = 243,775,351.26
  5. Step 5: Solve for x
    x = 243,775,351.26/21,048.92
  6. Step 6: Final answer
    x = 11,581.37

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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.