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Finding the Fourth Proportional to 10,058.81, 15,112.82 and 9,499.30

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Solution

The fourth proportional to 10,058.81, 15,112.82 and 9,499.30 is: 14,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.81 : 15,112.82 = 9,499.30 : x
  2. Step 2: Convert to fraction form
    10,058.81/15,112.82 = 9,499.30/x
  3. Step 3: Cross multiply
    10,058.81x = 15,112.82 × 9,499.30
  4. Step 4: Simplify right side
    10,058.81x = 143,561,163.53
  5. Step 5: Solve for x
    x = 143,561,163.53/10,058.81
  6. Step 6: Final answer
    x = 14,272.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.