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Finding the Fourth Proportional to 13,748, 18,976.96 and 9,268.88

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Solution

The fourth proportional to 13,748, 18,976.96 and 9,268.88 is: 12,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,748 : 18,976.96 = 9,268.88 : x
  2. Step 2: Convert to fraction form
    13,748/18,976.96 = 9,268.88/x
  3. Step 3: Cross multiply
    13,748x = 18,976.96 × 9,268.88
  4. Step 4: Simplify right side
    13,748x = 175,895,165.00
  5. Step 5: Solve for x
    x = 175,895,165.00/13,748
  6. Step 6: Final answer
    x = 12,794.24

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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.