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Finding the Fourth Proportional to 22,449, 33,678.36 and 8,598

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Solution

The fourth proportional to 22,449, 33,678.36 and 8,598 is: 12,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,449 : 33,678.36 = 8,598 : x
  2. Step 2: Convert to fraction form
    22,449/33,678.36 = 8,598/x
  3. Step 3: Cross multiply
    22,449x = 33,678.36 × 8,598
  4. Step 4: Simplify right side
    22,449x = 289,566,539.28
  5. Step 5: Solve for x
    x = 289,566,539.28/22,449
  6. Step 6: Final answer
    x = 12,898.86

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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.