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Finding the Fourth Proportional to 17,678.60, 24,396.28 and 13,161.47

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Solution

The fourth proportional to 17,678.60, 24,396.28 and 13,161.47 is: 18,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.60 : 24,396.28 = 13,161.47 : x
  2. Step 2: Convert to fraction form
    17,678.60/24,396.28 = 13,161.47/x
  3. Step 3: Cross multiply
    17,678.60x = 24,396.28 × 13,161.47
  4. Step 4: Simplify right side
    17,678.60x = 321,090,935.42
  5. Step 5: Solve for x
    x = 321,090,935.42/17,678.60
  6. Step 6: Final answer
    x = 18,162.70

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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.