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Finding the Fourth Proportional to 13,778.77, 20,677.34 and 8,851.94

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Solution

The fourth proportional to 13,778.77, 20,677.34 and 8,851.94 is: 13,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.77 : 20,677.34 = 8,851.94 : x
  2. Step 2: Convert to fraction form
    13,778.77/20,677.34 = 8,851.94/x
  3. Step 3: Cross multiply
    13,778.77x = 20,677.34 × 8,851.94
  4. Step 4: Simplify right side
    13,778.77x = 183,034,646.86
  5. Step 5: Solve for x
    x = 183,034,646.86/13,778.77
  6. Step 6: Final answer
    x = 13,283.82

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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.