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Finding the Fourth Proportional to 13,453.86, 18,566.77 and 8,416.47

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Solution

The fourth proportional to 13,453.86, 18,566.77 and 8,416.47 is: 11,615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.86 : 18,566.77 = 8,416.47 : x
  2. Step 2: Convert to fraction form
    13,453.86/18,566.77 = 8,416.47/x
  3. Step 3: Cross multiply
    13,453.86x = 18,566.77 × 8,416.47
  4. Step 4: Simplify right side
    13,453.86x = 156,266,727.07
  5. Step 5: Solve for x
    x = 156,266,727.07/13,453.86
  6. Step 6: Final answer
    x = 11,615.01

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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.