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Finding the Fourth Proportional to 22,301.72, 33,456.02 and 7,509.48

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Solution

The fourth proportional to 22,301.72, 33,456.02 and 7,509.48 is: 11,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,301.72 : 33,456.02 = 7,509.48 : x
  2. Step 2: Convert to fraction form
    22,301.72/33,456.02 = 7,509.48/x
  3. Step 3: Cross multiply
    22,301.72x = 33,456.02 × 7,509.48
  4. Step 4: Simplify right side
    22,301.72x = 251,237,313.07
  5. Step 5: Solve for x
    x = 251,237,313.07/22,301.72
  6. Step 6: Final answer
    x = 11,265.38

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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.