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Finding the Fourth Proportional to 13,713.12, 20,577.12 and 5,820.07

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Solution

The fourth proportional to 13,713.12, 20,577.12 and 5,820.07 is: 8,733.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.12 : 20,577.12 = 5,820.07 : x
  2. Step 2: Convert to fraction form
    13,713.12/20,577.12 = 5,820.07/x
  3. Step 3: Cross multiply
    13,713.12x = 20,577.12 × 5,820.07
  4. Step 4: Simplify right side
    13,713.12x = 119,760,249.70
  5. Step 5: Solve for x
    x = 119,760,249.70/13,713.12
  6. Step 6: Final answer
    x = 8,733.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.