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Finding the Fourth Proportional to 17,857.14, 24,652.61 and 11,807.66

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Solution

The fourth proportional to 17,857.14, 24,652.61 and 11,807.66 is: 16,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.14 : 24,652.61 = 11,807.66 : x
  2. Step 2: Convert to fraction form
    17,857.14/24,652.61 = 11,807.66/x
  3. Step 3: Cross multiply
    17,857.14x = 24,652.61 × 11,807.66
  4. Step 4: Simplify right side
    17,857.14x = 291,089,454.69
  5. Step 5: Solve for x
    x = 291,089,454.69/17,857.14
  6. Step 6: Final answer
    x = 16,301.01

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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.