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Finding the Fourth Proportional to 13,700.22, 18,896.13 and 8,322.63

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Solution

The fourth proportional to 13,700.22, 18,896.13 and 8,322.63 is: 11,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.22 : 18,896.13 = 8,322.63 : x
  2. Step 2: Convert to fraction form
    13,700.22/18,896.13 = 8,322.63/x
  3. Step 3: Cross multiply
    13,700.22x = 18,896.13 × 8,322.63
  4. Step 4: Simplify right side
    13,700.22x = 157,265,498.42
  5. Step 5: Solve for x
    x = 157,265,498.42/13,700.22
  6. Step 6: Final answer
    x = 11,479.05

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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.