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Finding the Fourth Proportional to 13,176, 19,761.84 and 9,268.56

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Solution

The fourth proportional to 13,176, 19,761.84 and 9,268.56 is: 13,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176 : 19,761.84 = 9,268.56 : x
  2. Step 2: Convert to fraction form
    13,176/19,761.84 = 9,268.56/x
  3. Step 3: Cross multiply
    13,176x = 19,761.84 × 9,268.56
  4. Step 4: Simplify right side
    13,176x = 183,163,799.75
  5. Step 5: Solve for x
    x = 183,163,799.75/13,176
  6. Step 6: Final answer
    x = 13,901.32

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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.