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Finding the Fourth Proportional to 14,919.63, 22,377.97 and 5,057.74

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Solution

The fourth proportional to 14,919.63, 22,377.97 and 5,057.74 is: 7,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.63 : 22,377.97 = 5,057.74 : x
  2. Step 2: Convert to fraction form
    14,919.63/22,377.97 = 5,057.74/x
  3. Step 3: Cross multiply
    14,919.63x = 22,377.97 × 5,057.74
  4. Step 4: Simplify right side
    14,919.63x = 113,181,953.99
  5. Step 5: Solve for x
    x = 113,181,953.99/14,919.63
  6. Step 6: Final answer
    x = 7,586.11

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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.