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Finding the Fourth Proportional to 11,456.25, 17,108.90 and 9,899.43

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Solution

The fourth proportional to 11,456.25, 17,108.90 and 9,899.43 is: 14,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.25 : 17,108.90 = 9,899.43 : x
  2. Step 2: Convert to fraction form
    11,456.25/17,108.90 = 9,899.43/x
  3. Step 3: Cross multiply
    11,456.25x = 17,108.90 × 9,899.43
  4. Step 4: Simplify right side
    11,456.25x = 169,368,308.43
  5. Step 5: Solve for x
    x = 169,368,308.43/11,456.25
  6. Step 6: Final answer
    x = 14,783.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.