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Finding the Fourth Proportional to 11,931.68, 17,777.62 and 11,261

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Solution

The fourth proportional to 11,931.68, 17,777.62 and 11,261 is: 16,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.68 : 17,777.62 = 11,261 : x
  2. Step 2: Convert to fraction form
    11,931.68/17,777.62 = 11,261/x
  3. Step 3: Cross multiply
    11,931.68x = 17,777.62 × 11,261
  4. Step 4: Simplify right side
    11,931.68x = 200,193,778.82
  5. Step 5: Solve for x
    x = 200,193,778.82/11,931.68
  6. Step 6: Final answer
    x = 16,778.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.