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Finding the Fourth Proportional to 13,742.68, 18,967.74 and 7,774.60

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Solution

The fourth proportional to 13,742.68, 18,967.74 and 7,774.60 is: 10,730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.68 : 18,967.74 = 7,774.60 : x
  2. Step 2: Convert to fraction form
    13,742.68/18,967.74 = 7,774.60/x
  3. Step 3: Cross multiply
    13,742.68x = 18,967.74 × 7,774.60
  4. Step 4: Simplify right side
    13,742.68x = 147,466,591.40
  5. Step 5: Solve for x
    x = 147,466,591.40/13,742.68
  6. Step 6: Final answer
    x = 10,730.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.