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Finding the Fourth Proportional to 12,157.83, 16,777.71 and 6,854.37

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Solution

The fourth proportional to 12,157.83, 16,777.71 and 6,854.37 is: 9,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.83 : 16,777.71 = 6,854.37 : x
  2. Step 2: Convert to fraction form
    12,157.83/16,777.71 = 6,854.37/x
  3. Step 3: Cross multiply
    12,157.83x = 16,777.71 × 6,854.37
  4. Step 4: Simplify right side
    12,157.83x = 115,000,632.09
  5. Step 5: Solve for x
    x = 115,000,632.09/12,157.83
  6. Step 6: Final answer
    x = 9,458.98

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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.