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Finding the Fourth Proportional to 13,516.86, 18,647.48 and 8,477.65

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Solution

The fourth proportional to 13,516.86, 18,647.48 and 8,477.65 is: 11,695.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.86 : 18,647.48 = 8,477.65 : x
  2. Step 2: Convert to fraction form
    13,516.86/18,647.48 = 8,477.65/x
  3. Step 3: Cross multiply
    13,516.86x = 18,647.48 × 8,477.65
  4. Step 4: Simplify right side
    13,516.86x = 158,086,808.82
  5. Step 5: Solve for x
    x = 158,086,808.82/13,516.86
  6. Step 6: Final answer
    x = 11,695.53

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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.