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Finding the Fourth Proportional to 17,451.12, 24,082.74 and 9,493.40

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Solution

The fourth proportional to 17,451.12, 24,082.74 and 9,493.40 is: 13,101.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,451.12 : 24,082.74 = 9,493.40 : x
  2. Step 2: Convert to fraction form
    17,451.12/24,082.74 = 9,493.40/x
  3. Step 3: Cross multiply
    17,451.12x = 24,082.74 × 9,493.40
  4. Step 4: Simplify right side
    17,451.12x = 228,627,170.82
  5. Step 5: Solve for x
    x = 228,627,170.82/17,451.12
  6. Step 6: Final answer
    x = 13,101.00

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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.