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Finding the Fourth Proportional to 17,740.86, 26,611.41 and 7,877.46

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Solution

The fourth proportional to 17,740.86, 26,611.41 and 7,877.46 is: 11,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.86 : 26,611.41 = 7,877.46 : x
  2. Step 2: Convert to fraction form
    17,740.86/26,611.41 = 7,877.46/x
  3. Step 3: Cross multiply
    17,740.86x = 26,611.41 × 7,877.46
  4. Step 4: Simplify right side
    17,740.86x = 209,630,317.82
  5. Step 5: Solve for x
    x = 209,630,317.82/17,740.86
  6. Step 6: Final answer
    x = 11,816.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.