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Finding the Fourth Proportional to 13,642.14, 18,826.23 and 8,055.90

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Solution

The fourth proportional to 13,642.14, 18,826.23 and 8,055.90 is: 11,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.14 : 18,826.23 = 8,055.90 : x
  2. Step 2: Convert to fraction form
    13,642.14/18,826.23 = 8,055.90/x
  3. Step 3: Cross multiply
    13,642.14x = 18,826.23 × 8,055.90
  4. Step 4: Simplify right side
    13,642.14x = 151,662,226.26
  5. Step 5: Solve for x
    x = 151,662,226.26/13,642.14
  6. Step 6: Final answer
    x = 11,117.19

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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.