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Finding the Fourth Proportional to 12,154.83, 16,773.57 and 6,851.37

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Solution

The fourth proportional to 12,154.83, 16,773.57 and 6,851.37 is: 9,454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.83 : 16,773.57 = 6,851.37 : x
  2. Step 2: Convert to fraction form
    12,154.83/16,773.57 = 6,851.37/x
  3. Step 3: Cross multiply
    12,154.83x = 16,773.57 × 6,851.37
  4. Step 4: Simplify right side
    12,154.83x = 114,921,934.29
  5. Step 5: Solve for x
    x = 114,921,934.29/12,154.83
  6. Step 6: Final answer
    x = 9,454.84

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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.