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Finding the Fourth Proportional to 23,513.84, 32,449.49 and 12,904.46

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Solution

The fourth proportional to 23,513.84, 32,449.49 and 12,904.46 is: 17,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.84 : 32,449.49 = 12,904.46 : x
  2. Step 2: Convert to fraction form
    23,513.84/32,449.49 = 12,904.46/x
  3. Step 3: Cross multiply
    23,513.84x = 32,449.49 × 12,904.46
  4. Step 4: Simplify right side
    23,513.84x = 418,743,161.62
  5. Step 5: Solve for x
    x = 418,743,161.62/23,513.84
  6. Step 6: Final answer
    x = 17,808.37

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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.