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Finding the Fourth Proportional to 12,151.32, 16,770.96 and 11,597.28

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Solution

The fourth proportional to 12,151.32, 16,770.96 and 11,597.28 is: 16,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.32 : 16,770.96 = 11,597.28 : x
  2. Step 2: Convert to fraction form
    12,151.32/16,770.96 = 11,597.28/x
  3. Step 3: Cross multiply
    12,151.32x = 16,770.96 × 11,597.28
  4. Step 4: Simplify right side
    12,151.32x = 194,497,518.99
  5. Step 5: Solve for x
    x = 194,497,518.99/12,151.32
  6. Step 6: Final answer
    x = 16,006.29

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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.