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Finding the Fourth Proportional to 14,975, 22,463.58 and 5,741

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Solution

The fourth proportional to 14,975, 22,463.58 and 5,741 is: 8,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,975 : 22,463.58 = 5,741 : x
  2. Step 2: Convert to fraction form
    14,975/22,463.58 = 5,741/x
  3. Step 3: Cross multiply
    14,975x = 22,463.58 × 5,741
  4. Step 4: Simplify right side
    14,975x = 128,963,412.78
  5. Step 5: Solve for x
    x = 128,963,412.78/14,975
  6. Step 6: Final answer
    x = 8,611.91

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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.