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Finding the Fourth Proportional to 13,663.18, 20,492.46 and 3,803.44

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Solution

The fourth proportional to 13,663.18, 20,492.46 and 3,803.44 is: 5,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.18 : 20,492.46 = 3,803.44 : x
  2. Step 2: Convert to fraction form
    13,663.18/20,492.46 = 3,803.44/x
  3. Step 3: Cross multiply
    13,663.18x = 20,492.46 × 3,803.44
  4. Step 4: Simplify right side
    13,663.18x = 77,941,842.06
  5. Step 5: Solve for x
    x = 77,941,842.06/13,663.18
  6. Step 6: Final answer
    x = 5,704.52

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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.