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Finding the Fourth Proportional to 17,448, 26,176.80 and 5,136

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Solution

The fourth proportional to 17,448, 26,176.80 and 5,136 is: 7,705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,448 : 26,176.80 = 5,136 : x
  2. Step 2: Convert to fraction form
    17,448/26,176.80 = 5,136/x
  3. Step 3: Cross multiply
    17,448x = 26,176.80 × 5,136
  4. Step 4: Simplify right side
    17,448x = 134,444,044.80
  5. Step 5: Solve for x
    x = 134,444,044.80/17,448
  6. Step 6: Final answer
    x = 7,705.41

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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.