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Finding the Fourth Proportional to 12,154.41, 16,663.68 and 11,932.98

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Solution

The fourth proportional to 12,154.41, 16,663.68 and 11,932.98 is: 16,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.41 : 16,663.68 = 11,932.98 : x
  2. Step 2: Convert to fraction form
    12,154.41/16,663.68 = 11,932.98/x
  3. Step 3: Cross multiply
    12,154.41x = 16,663.68 × 11,932.98
  4. Step 4: Simplify right side
    12,154.41x = 198,847,360.17
  5. Step 5: Solve for x
    x = 198,847,360.17/12,154.41
  6. Step 6: Final answer
    x = 16,360.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.