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Finding the Fourth Proportional to 13,171.76, 19,708.20 and 7,887.32

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Solution

The fourth proportional to 13,171.76, 19,708.20 and 7,887.32 is: 11,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.76 : 19,708.20 = 7,887.32 : x
  2. Step 2: Convert to fraction form
    13,171.76/19,708.20 = 7,887.32/x
  3. Step 3: Cross multiply
    13,171.76x = 19,708.20 × 7,887.32
  4. Step 4: Simplify right side
    13,171.76x = 155,444,880.02
  5. Step 5: Solve for x
    x = 155,444,880.02/13,171.76
  6. Step 6: Final answer
    x = 11,801.38

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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.