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Finding the Fourth Proportional to 17,496.78, 24,146.22 and 9,944.40

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Solution

The fourth proportional to 17,496.78, 24,146.22 and 9,944.40 is: 13,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496.78 : 24,146.22 = 9,944.40 : x
  2. Step 2: Convert to fraction form
    17,496.78/24,146.22 = 9,944.40/x
  3. Step 3: Cross multiply
    17,496.78x = 24,146.22 × 9,944.40
  4. Step 4: Simplify right side
    17,496.78x = 240,119,670.17
  5. Step 5: Solve for x
    x = 240,119,670.17/17,496.78
  6. Step 6: Final answer
    x = 13,723.65

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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.