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Finding the Fourth Proportional to 13,767.60, 18,991.32 and 8,177.52

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Solution

The fourth proportional to 13,767.60, 18,991.32 and 8,177.52 is: 11,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.60 : 18,991.32 = 8,177.52 : x
  2. Step 2: Convert to fraction form
    13,767.60/18,991.32 = 8,177.52/x
  3. Step 3: Cross multiply
    13,767.60x = 18,991.32 × 8,177.52
  4. Step 4: Simplify right side
    13,767.60x = 155,301,899.13
  5. Step 5: Solve for x
    x = 155,301,899.13/13,767.60
  6. Step 6: Final answer
    x = 11,280.24

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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.