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Finding the Fourth Proportional to 14,714.64, 20,292.75 and 10,947.24

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Solution

The fourth proportional to 14,714.64, 20,292.75 and 10,947.24 is: 15,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.64 : 20,292.75 = 10,947.24 : x
  2. Step 2: Convert to fraction form
    14,714.64/20,292.75 = 10,947.24/x
  3. Step 3: Cross multiply
    14,714.64x = 20,292.75 × 10,947.24
  4. Step 4: Simplify right side
    14,714.64x = 222,149,604.51
  5. Step 5: Solve for x
    x = 222,149,604.51/14,714.64
  6. Step 6: Final answer
    x = 15,097.18

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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.