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Finding the Fourth Proportional to 22,098.78, 33,160.32 and 10,411.70

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Solution

The fourth proportional to 22,098.78, 33,160.32 and 10,411.70 is: 15,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.78 : 33,160.32 = 10,411.70 : x
  2. Step 2: Convert to fraction form
    22,098.78/33,160.32 = 10,411.70/x
  3. Step 3: Cross multiply
    22,098.78x = 33,160.32 × 10,411.70
  4. Step 4: Simplify right side
    22,098.78x = 345,255,303.74
  5. Step 5: Solve for x
    x = 345,255,303.74/22,098.78
  6. Step 6: Final answer
    x = 15,623.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.