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Finding the Fourth Proportional to 22,300.84, 33,456.16 and 7,509.24

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Solution

The fourth proportional to 22,300.84, 33,456.16 and 7,509.24 is: 11,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300.84 : 33,456.16 = 7,509.24 : x
  2. Step 2: Convert to fraction form
    22,300.84/33,456.16 = 7,509.24/x
  3. Step 3: Cross multiply
    22,300.84x = 33,456.16 × 7,509.24
  4. Step 4: Simplify right side
    22,300.84x = 251,230,334.92
  5. Step 5: Solve for x
    x = 251,230,334.92/22,300.84
  6. Step 6: Final answer
    x = 11,265.51

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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.