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Finding the Fourth Proportional to 21,309.72, 31,945.14 and 7,451.16

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Solution

The fourth proportional to 21,309.72, 31,945.14 and 7,451.16 is: 11,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.72 : 31,945.14 = 7,451.16 : x
  2. Step 2: Convert to fraction form
    21,309.72/31,945.14 = 7,451.16/x
  3. Step 3: Cross multiply
    21,309.72x = 31,945.14 × 7,451.16
  4. Step 4: Simplify right side
    21,309.72x = 238,028,349.36
  5. Step 5: Solve for x
    x = 238,028,349.36/21,309.72
  6. Step 6: Final answer
    x = 11,169.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.