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Finding the Fourth Proportional to 16,462.50, 24,695.92 and 5,365.30

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Solution

The fourth proportional to 16,462.50, 24,695.92 and 5,365.30 is: 8,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.50 : 24,695.92 = 5,365.30 : x
  2. Step 2: Convert to fraction form
    16,462.50/24,695.92 = 5,365.30/x
  3. Step 3: Cross multiply
    16,462.50x = 24,695.92 × 5,365.30
  4. Step 4: Simplify right side
    16,462.50x = 132,501,019.58
  5. Step 5: Solve for x
    x = 132,501,019.58/16,462.50
  6. Step 6: Final answer
    x = 8,048.66

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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.