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Finding the Fourth Proportional to 17,740.34, 24,473.22 and 11,696.90

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Solution

The fourth proportional to 17,740.34, 24,473.22 and 11,696.90 is: 16,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.34 : 24,473.22 = 11,696.90 : x
  2. Step 2: Convert to fraction form
    17,740.34/24,473.22 = 11,696.90/x
  3. Step 3: Cross multiply
    17,740.34x = 24,473.22 × 11,696.90
  4. Step 4: Simplify right side
    17,740.34x = 286,260,807.02
  5. Step 5: Solve for x
    x = 286,260,807.02/17,740.34
  6. Step 6: Final answer
    x = 16,136.15

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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.