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Finding the Fourth Proportional to 12,151.42, 16,773.64 and 9,499.68

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Solution

The fourth proportional to 12,151.42, 16,773.64 and 9,499.68 is: 13,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.42 : 16,773.64 = 9,499.68 : x
  2. Step 2: Convert to fraction form
    12,151.42/16,773.64 = 9,499.68/x
  3. Step 3: Cross multiply
    12,151.42x = 16,773.64 × 9,499.68
  4. Step 4: Simplify right side
    12,151.42x = 159,344,212.44
  5. Step 5: Solve for x
    x = 159,344,212.44/12,151.42
  6. Step 6: Final answer
    x = 13,113.22

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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.