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Finding the Fourth Proportional to 23,514.76, 32,451.20 and 12,904.48

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Solution

The fourth proportional to 23,514.76, 32,451.20 and 12,904.48 is: 17,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.76 : 32,451.20 = 12,904.48 : x
  2. Step 2: Convert to fraction form
    23,514.76/32,451.20 = 12,904.48/x
  3. Step 3: Cross multiply
    23,514.76x = 32,451.20 × 12,904.48
  4. Step 4: Simplify right side
    23,514.76x = 418,765,861.38
  5. Step 5: Solve for x
    x = 418,765,861.38/23,514.76
  6. Step 6: Final answer
    x = 17,808.64

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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.