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Finding the Fourth Proportional to 13,718.60, 20,591.42 and 9,774.24

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Solution

The fourth proportional to 13,718.60, 20,591.42 and 9,774.24 is: 14,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.60 : 20,591.42 = 9,774.24 : x
  2. Step 2: Convert to fraction form
    13,718.60/20,591.42 = 9,774.24/x
  3. Step 3: Cross multiply
    13,718.60x = 20,591.42 × 9,774.24
  4. Step 4: Simplify right side
    13,718.60x = 201,265,481.02
  5. Step 5: Solve for x
    x = 201,265,481.02/13,718.60
  6. Step 6: Final answer
    x = 14,670.99

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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.