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Finding the Fourth Proportional to 14,841.92, 22,262.08 and 3,748.48

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Solution

The fourth proportional to 14,841.92, 22,262.08 and 3,748.48 is: 5,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,841.92 : 22,262.08 = 3,748.48 : x
  2. Step 2: Convert to fraction form
    14,841.92/22,262.08 = 3,748.48/x
  3. Step 3: Cross multiply
    14,841.92x = 22,262.08 × 3,748.48
  4. Step 4: Simplify right side
    14,841.92x = 83,448,961.64
  5. Step 5: Solve for x
    x = 83,448,961.64/14,841.92
  6. Step 6: Final answer
    x = 5,622.52

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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.