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Finding the Fourth Proportional to 22,009.32, 30,363.39 and 14,843.86

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Solution

The fourth proportional to 22,009.32, 30,363.39 and 14,843.86 is: 20,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.32 : 30,363.39 = 14,843.86 : x
  2. Step 2: Convert to fraction form
    22,009.32/30,363.39 = 14,843.86/x
  3. Step 3: Cross multiply
    22,009.32x = 30,363.39 × 14,843.86
  4. Step 4: Simplify right side
    22,009.32x = 450,709,834.38
  5. Step 5: Solve for x
    x = 450,709,834.38/22,009.32
  6. Step 6: Final answer
    x = 20,478.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.