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Finding the Fourth Proportional to 13,492.74, 20,237.66 and 3,633.02

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Solution

The fourth proportional to 13,492.74, 20,237.66 and 3,633.02 is: 5,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.74 : 20,237.66 = 3,633.02 : x
  2. Step 2: Convert to fraction form
    13,492.74/20,237.66 = 3,633.02/x
  3. Step 3: Cross multiply
    13,492.74x = 20,237.66 × 3,633.02
  4. Step 4: Simplify right side
    13,492.74x = 73,523,823.53
  5. Step 5: Solve for x
    x = 73,523,823.53/13,492.74
  6. Step 6: Final answer
    x = 5,449.14

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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.