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Finding the Fourth Proportional to 19,474.88, 29,212.56 and 5,624

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Solution

The fourth proportional to 19,474.88, 29,212.56 and 5,624 is: 8,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474.88 : 29,212.56 = 5,624 : x
  2. Step 2: Convert to fraction form
    19,474.88/29,212.56 = 5,624/x
  3. Step 3: Cross multiply
    19,474.88x = 29,212.56 × 5,624
  4. Step 4: Simplify right side
    19,474.88x = 164,291,437.44
  5. Step 5: Solve for x
    x = 164,291,437.44/19,474.88
  6. Step 6: Final answer
    x = 8,436.07

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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.