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Finding the Fourth Proportional to 13,169.64, 19,757.52 and 3,809.28

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Solution

The fourth proportional to 13,169.64, 19,757.52 and 3,809.28 is: 5,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.64 : 19,757.52 = 3,809.28 : x
  2. Step 2: Convert to fraction form
    13,169.64/19,757.52 = 3,809.28/x
  3. Step 3: Cross multiply
    13,169.64x = 19,757.52 × 3,809.28
  4. Step 4: Simplify right side
    13,169.64x = 75,261,925.79
  5. Step 5: Solve for x
    x = 75,261,925.79/13,169.64
  6. Step 6: Final answer
    x = 5,714.81

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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.