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Finding the Fourth Proportional to 23,514.41, 32,450.39 and 12,904.04

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Solution

The fourth proportional to 23,514.41, 32,450.39 and 12,904.04 is: 17,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.41 : 32,450.39 = 12,904.04 : x
  2. Step 2: Convert to fraction form
    23,514.41/32,450.39 = 12,904.04/x
  3. Step 3: Cross multiply
    23,514.41x = 32,450.39 × 12,904.04
  4. Step 4: Simplify right side
    23,514.41x = 418,741,130.58
  5. Step 5: Solve for x
    x = 418,741,130.58/23,514.41
  6. Step 6: Final answer
    x = 17,807.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.