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Finding the Fourth Proportional to 19,448, 26,838.24 and 10,616

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Solution

The fourth proportional to 19,448, 26,838.24 and 10,616 is: 14,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,448 : 26,838.24 = 10,616 : x
  2. Step 2: Convert to fraction form
    19,448/26,838.24 = 10,616/x
  3. Step 3: Cross multiply
    19,448x = 26,838.24 × 10,616
  4. Step 4: Simplify right side
    19,448x = 284,914,755.84
  5. Step 5: Solve for x
    x = 284,914,755.84/19,448
  6. Step 6: Final answer
    x = 14,650.08

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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.