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Finding the Fourth Proportional to 22,539.84, 33,815.28 and 7,748.96

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Solution

The fourth proportional to 22,539.84, 33,815.28 and 7,748.96 is: 11,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,539.84 : 33,815.28 = 7,748.96 : x
  2. Step 2: Convert to fraction form
    22,539.84/33,815.28 = 7,748.96/x
  3. Step 3: Cross multiply
    22,539.84x = 33,815.28 × 7,748.96
  4. Step 4: Simplify right side
    22,539.84x = 262,033,252.11
  5. Step 5: Solve for x
    x = 262,033,252.11/22,539.84
  6. Step 6: Final answer
    x = 11,625.34

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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.