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Finding the Fourth Proportional to 17,856, 24,641.28 and 9,899.44

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Solution

The fourth proportional to 17,856, 24,641.28 and 9,899.44 is: 13,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856 : 24,641.28 = 9,899.44 : x
  2. Step 2: Convert to fraction form
    17,856/24,641.28 = 9,899.44/x
  3. Step 3: Cross multiply
    17,856x = 24,641.28 × 9,899.44
  4. Step 4: Simplify right side
    17,856x = 243,934,811.28
  5. Step 5: Solve for x
    x = 243,934,811.28/17,856
  6. Step 6: Final answer
    x = 13,661.22

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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.