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Finding the Fourth Proportional to 23,471, 32,389.98 and 12,860.66

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Solution

The fourth proportional to 23,471, 32,389.98 and 12,860.66 is: 17,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471 : 32,389.98 = 12,860.66 : x
  2. Step 2: Convert to fraction form
    23,471/32,389.98 = 12,860.66/x
  3. Step 3: Cross multiply
    23,471x = 32,389.98 × 12,860.66
  4. Step 4: Simplify right side
    23,471x = 416,556,520.19
  5. Step 5: Solve for x
    x = 416,556,520.19/23,471
  6. Step 6: Final answer
    x = 17,747.71

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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.