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Finding the Fourth Proportional to 17,924.28, 24,733.35 and 9,856.64

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Solution

The fourth proportional to 17,924.28, 24,733.35 and 9,856.64 is: 13,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924.28 : 24,733.35 = 9,856.64 : x
  2. Step 2: Convert to fraction form
    17,924.28/24,733.35 = 9,856.64/x
  3. Step 3: Cross multiply
    17,924.28x = 24,733.35 × 9,856.64
  4. Step 4: Simplify right side
    17,924.28x = 243,787,603.28
  5. Step 5: Solve for x
    x = 243,787,603.28/17,924.28
  6. Step 6: Final answer
    x = 13,600.97

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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.