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Finding the Fourth Proportional to 17,665.64, 24,379.80 and 11,686.94

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Solution

The fourth proportional to 17,665.64, 24,379.80 and 11,686.94 is: 16,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.64 : 24,379.80 = 11,686.94 : x
  2. Step 2: Convert to fraction form
    17,665.64/24,379.80 = 11,686.94/x
  3. Step 3: Cross multiply
    17,665.64x = 24,379.80 × 11,686.94
  4. Step 4: Simplify right side
    17,665.64x = 284,925,259.81
  5. Step 5: Solve for x
    x = 284,925,259.81/17,665.64
  6. Step 6: Final answer
    x = 16,128.78

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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.