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Finding the Fourth Proportional to 13,106.98, 18,086.26 and 7,656.22

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Solution

The fourth proportional to 13,106.98, 18,086.26 and 7,656.22 is: 10,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.98 : 18,086.26 = 7,656.22 : x
  2. Step 2: Convert to fraction form
    13,106.98/18,086.26 = 7,656.22/x
  3. Step 3: Cross multiply
    13,106.98x = 18,086.26 × 7,656.22
  4. Step 4: Simplify right side
    13,106.98x = 138,472,385.54
  5. Step 5: Solve for x
    x = 138,472,385.54/13,106.98
  6. Step 6: Final answer
    x = 10,564.78

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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.