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Finding the Fourth Proportional to 16,950.57, 23,393.21 and 9,781.77

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Solution

The fourth proportional to 16,950.57, 23,393.21 and 9,781.77 is: 13,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,950.57 : 23,393.21 = 9,781.77 : x
  2. Step 2: Convert to fraction form
    16,950.57/23,393.21 = 9,781.77/x
  3. Step 3: Cross multiply
    16,950.57x = 23,393.21 × 9,781.77
  4. Step 4: Simplify right side
    16,950.57x = 228,826,999.78
  5. Step 5: Solve for x
    x = 228,826,999.78/16,950.57
  6. Step 6: Final answer
    x = 13,499.66

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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.