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Finding the Fourth Proportional to 17,856.96, 24,643.80 and 10,304.64

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Solution

The fourth proportional to 17,856.96, 24,643.80 and 10,304.64 is: 14,221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.96 : 24,643.80 = 10,304.64 : x
  2. Step 2: Convert to fraction form
    17,856.96/24,643.80 = 10,304.64/x
  3. Step 3: Cross multiply
    17,856.96x = 24,643.80 × 10,304.64
  4. Step 4: Simplify right side
    17,856.96x = 253,945,487.23
  5. Step 5: Solve for x
    x = 253,945,487.23/17,856.96
  6. Step 6: Final answer
    x = 14,221.09

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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.