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Finding the Fourth Proportional to 14,801, 22,212.46 and 7,009.84

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Solution

The fourth proportional to 14,801, 22,212.46 and 7,009.84 is: 10,519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801 : 22,212.46 = 7,009.84 : x
  2. Step 2: Convert to fraction form
    14,801/22,212.46 = 7,009.84/x
  3. Step 3: Cross multiply
    14,801x = 22,212.46 × 7,009.84
  4. Step 4: Simplify right side
    14,801x = 155,705,670.78
  5. Step 5: Solve for x
    x = 155,705,670.78/14,801
  6. Step 6: Final answer
    x = 10,519.94

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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.