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Finding the Fourth Proportional to 17,826.98, 24,597.15 and 11,538.14

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Solution

The fourth proportional to 17,826.98, 24,597.15 and 11,538.14 is: 15,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.98 : 24,597.15 = 11,538.14 : x
  2. Step 2: Convert to fraction form
    17,826.98/24,597.15 = 11,538.14/x
  3. Step 3: Cross multiply
    17,826.98x = 24,597.15 × 11,538.14
  4. Step 4: Simplify right side
    17,826.98x = 283,805,360.30
  5. Step 5: Solve for x
    x = 283,805,360.30/17,826.98
  6. Step 6: Final answer
    x = 15,919.99

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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.