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Finding the Fourth Proportional to 12,508.58, 17,241.99 and 9,851.78

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Solution

The fourth proportional to 12,508.58, 17,241.99 and 9,851.78 is: 13,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,508.58 : 17,241.99 = 9,851.78 : x
  2. Step 2: Convert to fraction form
    12,508.58/17,241.99 = 9,851.78/x
  3. Step 3: Cross multiply
    12,508.58x = 17,241.99 × 9,851.78
  4. Step 4: Simplify right side
    12,508.58x = 169,864,292.24
  5. Step 5: Solve for x
    x = 169,864,292.24/12,508.58
  6. Step 6: Final answer
    x = 13,579.82

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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.