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Finding the Fourth Proportional to 19,456, 26,849.92 and 10,624

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Solution

The fourth proportional to 19,456, 26,849.92 and 10,624 is: 14,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,456 : 26,849.92 = 10,624 : x
  2. Step 2: Convert to fraction form
    19,456/26,849.92 = 10,624/x
  3. Step 3: Cross multiply
    19,456x = 26,849.92 × 10,624
  4. Step 4: Simplify right side
    19,456x = 285,253,550.08
  5. Step 5: Solve for x
    x = 285,253,550.08/19,456
  6. Step 6: Final answer
    x = 14,661.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.