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Finding the Fourth Proportional to 22,617.60, 33,929.60 and 8,768

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Solution

The fourth proportional to 22,617.60, 33,929.60 and 8,768 is: 13,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.60 : 33,929.60 = 8,768 : x
  2. Step 2: Convert to fraction form
    22,617.60/33,929.60 = 8,768/x
  3. Step 3: Cross multiply
    22,617.60x = 33,929.60 × 8,768
  4. Step 4: Simplify right side
    22,617.60x = 297,494,732.80
  5. Step 5: Solve for x
    x = 297,494,732.80/22,617.60
  6. Step 6: Final answer
    x = 13,153.24

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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.