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Finding the Fourth Proportional to 23,514.39, 32,450.49 and 12,904.40

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Solution

The fourth proportional to 23,514.39, 32,450.49 and 12,904.40 is: 17,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.39 : 32,450.49 = 12,904.40 : x
  2. Step 2: Convert to fraction form
    23,514.39/32,450.49 = 12,904.40/x
  3. Step 3: Cross multiply
    23,514.39x = 32,450.49 × 12,904.40
  4. Step 4: Simplify right side
    23,514.39x = 418,754,184.28
  5. Step 5: Solve for x
    x = 418,754,184.28/23,514.39
  6. Step 6: Final answer
    x = 17,808.42

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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.