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Finding the Fourth Proportional to 17,648.46, 24,376.59 and 13,192.11

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Solution

The fourth proportional to 17,648.46, 24,376.59 and 13,192.11 is: 18,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.46 : 24,376.59 = 13,192.11 : x
  2. Step 2: Convert to fraction form
    17,648.46/24,376.59 = 13,192.11/x
  3. Step 3: Cross multiply
    17,648.46x = 24,376.59 × 13,192.11
  4. Step 4: Simplify right side
    17,648.46x = 321,578,672.03
  5. Step 5: Solve for x
    x = 321,578,672.03/17,648.46
  6. Step 6: Final answer
    x = 18,221.34

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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.