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Finding the Fourth Proportional to 13,742.40, 20,588.40 and 7,881.60

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Solution

The fourth proportional to 13,742.40, 20,588.40 and 7,881.60 is: 11,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.40 : 20,588.40 = 7,881.60 : x
  2. Step 2: Convert to fraction form
    13,742.40/20,588.40 = 7,881.60/x
  3. Step 3: Cross multiply
    13,742.40x = 20,588.40 × 7,881.60
  4. Step 4: Simplify right side
    13,742.40x = 162,269,533.44
  5. Step 5: Solve for x
    x = 162,269,533.44/13,742.40
  6. Step 6: Final answer
    x = 11,807.95

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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.