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Finding the Fourth Proportional to 17,854.28, 24,639.08 and 9,896.64

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Solution

The fourth proportional to 17,854.28, 24,639.08 and 9,896.64 is: 13,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.28 : 24,639.08 = 9,896.64 : x
  2. Step 2: Convert to fraction form
    17,854.28/24,639.08 = 9,896.64/x
  3. Step 3: Cross multiply
    17,854.28x = 24,639.08 × 9,896.64
  4. Step 4: Simplify right side
    17,854.28x = 243,844,104.69
  5. Step 5: Solve for x
    x = 243,844,104.69/17,854.28
  6. Step 6: Final answer
    x = 13,657.46

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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.