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Finding the Fourth Proportional to 13,774.47, 20,658.60 and 3,913.53

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Solution

The fourth proportional to 13,774.47, 20,658.60 and 3,913.53 is: 5,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.47 : 20,658.60 = 3,913.53 : x
  2. Step 2: Convert to fraction form
    13,774.47/20,658.60 = 3,913.53/x
  3. Step 3: Cross multiply
    13,774.47x = 20,658.60 × 3,913.53
  4. Step 4: Simplify right side
    13,774.47x = 80,848,050.86
  5. Step 5: Solve for x
    x = 80,848,050.86/13,774.47
  6. Step 6: Final answer
    x = 5,869.41

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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.