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Finding the Fourth Proportional to 24,728.65, 34,106.92 and 17,175

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Solution

The fourth proportional to 24,728.65, 34,106.92 and 17,175 is: 23,688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.65 : 34,106.92 = 17,175 : x
  2. Step 2: Convert to fraction form
    24,728.65/34,106.92 = 17,175/x
  3. Step 3: Cross multiply
    24,728.65x = 34,106.92 × 17,175
  4. Step 4: Simplify right side
    24,728.65x = 585,786,351
  5. Step 5: Solve for x
    x = 585,786,351/24,728.65
  6. Step 6: Final answer
    x = 23,688.57

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1.5x scale

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.