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Finding the Fourth Proportional to 13,758.64, 18,986.76 and 8,097.04

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Solution

The fourth proportional to 13,758.64, 18,986.76 and 8,097.04 is: 11,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.64 : 18,986.76 = 8,097.04 : x
  2. Step 2: Convert to fraction form
    13,758.64/18,986.76 = 8,097.04/x
  3. Step 3: Cross multiply
    13,758.64x = 18,986.76 × 8,097.04
  4. Step 4: Simplify right side
    13,758.64x = 153,736,555.19
  5. Step 5: Solve for x
    x = 153,736,555.19/13,758.64
  6. Step 6: Final answer
    x = 11,173.82

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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.