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Finding the Fourth Proportional to 13,492.44, 20,230.80 and 4,129.78

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Solution

The fourth proportional to 13,492.44, 20,230.80 and 4,129.78 is: 6,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.44 : 20,230.80 = 4,129.78 : x
  2. Step 2: Convert to fraction form
    13,492.44/20,230.80 = 4,129.78/x
  3. Step 3: Cross multiply
    13,492.44x = 20,230.80 × 4,129.78
  4. Step 4: Simplify right side
    13,492.44x = 83,548,753.22
  5. Step 5: Solve for x
    x = 83,548,753.22/13,492.44
  6. Step 6: Final answer
    x = 6,192.26

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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.