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Finding the Fourth Proportional to 22,467.17, 33,703.74 and 7,672.11

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Solution

The fourth proportional to 22,467.17, 33,703.74 and 7,672.11 is: 11,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467.17 : 33,703.74 = 7,672.11 : x
  2. Step 2: Convert to fraction form
    22,467.17/33,703.74 = 7,672.11/x
  3. Step 3: Cross multiply
    22,467.17x = 33,703.74 × 7,672.11
  4. Step 4: Simplify right side
    22,467.17x = 258,578,800.69
  5. Step 5: Solve for x
    x = 258,578,800.69/22,467.17
  6. Step 6: Final answer
    x = 11,509.19

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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.