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Finding the Fourth Proportional to 13,577.94, 20,373.12 and 8,042.22

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Solution

The fourth proportional to 13,577.94, 20,373.12 and 8,042.22 is: 12,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.94 : 20,373.12 = 8,042.22 : x
  2. Step 2: Convert to fraction form
    13,577.94/20,373.12 = 8,042.22/x
  3. Step 3: Cross multiply
    13,577.94x = 20,373.12 × 8,042.22
  4. Step 4: Simplify right side
    13,577.94x = 163,845,113.13
  5. Step 5: Solve for x
    x = 163,845,113.13/13,577.94
  6. Step 6: Final answer
    x = 12,067.01

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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.