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Finding the Fourth Proportional to 13,462.66, 20,178.27 and 6,058.54

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Solution

The fourth proportional to 13,462.66, 20,178.27 and 6,058.54 is: 9,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.66 : 20,178.27 = 6,058.54 : x
  2. Step 2: Convert to fraction form
    13,462.66/20,178.27 = 6,058.54/x
  3. Step 3: Cross multiply
    13,462.66x = 20,178.27 × 6,058.54
  4. Step 4: Simplify right side
    13,462.66x = 122,250,855.93
  5. Step 5: Solve for x
    x = 122,250,855.93/13,462.66
  6. Step 6: Final answer
    x = 9,080.74

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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.