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Finding the Fourth Proportional to 14,159.22, 19,540.22 and 7,786.08

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Solution

The fourth proportional to 14,159.22, 19,540.22 and 7,786.08 is: 10,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.22 : 19,540.22 = 7,786.08 : x
  2. Step 2: Convert to fraction form
    14,159.22/19,540.22 = 7,786.08/x
  3. Step 3: Cross multiply
    14,159.22x = 19,540.22 × 7,786.08
  4. Step 4: Simplify right side
    14,159.22x = 152,141,677.21
  5. Step 5: Solve for x
    x = 152,141,677.21/14,159.22
  6. Step 6: Final answer
    x = 10,745.06

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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.