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Finding the Fourth Proportional to 14,471, 21,709.32 and 6,150.92

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Solution

The fourth proportional to 14,471, 21,709.32 and 6,150.92 is: 9,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471 : 21,709.32 = 6,150.92 : x
  2. Step 2: Convert to fraction form
    14,471/21,709.32 = 6,150.92/x
  3. Step 3: Cross multiply
    14,471x = 21,709.32 × 6,150.92
  4. Step 4: Simplify right side
    14,471x = 133,532,290.57
  5. Step 5: Solve for x
    x = 133,532,290.57/14,471
  6. Step 6: Final answer
    x = 9,227.58

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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.