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Finding the Fourth Proportional to 17,665.14, 24,376.50 and 10,111.62

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Solution

The fourth proportional to 17,665.14, 24,376.50 and 10,111.62 is: 13,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.14 : 24,376.50 = 10,111.62 : x
  2. Step 2: Convert to fraction form
    17,665.14/24,376.50 = 10,111.62/x
  3. Step 3: Cross multiply
    17,665.14x = 24,376.50 × 10,111.62
  4. Step 4: Simplify right side
    17,665.14x = 246,485,904.93
  5. Step 5: Solve for x
    x = 246,485,904.93/17,665.14
  6. Step 6: Final answer
    x = 13,953.24

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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.