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Finding the Fourth Proportional to 23,277, 32,121.84 and 12,666.48

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Solution

The fourth proportional to 23,277, 32,121.84 and 12,666.48 is: 17,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,277 : 32,121.84 = 12,666.48 : x
  2. Step 2: Convert to fraction form
    23,277/32,121.84 = 12,666.48/x
  3. Step 3: Cross multiply
    23,277x = 32,121.84 × 12,666.48
  4. Step 4: Simplify right side
    23,277x = 406,870,643.92
  5. Step 5: Solve for x
    x = 406,870,643.92/23,277
  6. Step 6: Final answer
    x = 17,479.51

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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.