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Finding the Fourth Proportional to 13,714.35, 18,924.35 and 10,131.18

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Solution

The fourth proportional to 13,714.35, 18,924.35 and 10,131.18 is: 13,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.35 : 18,924.35 = 10,131.18 : x
  2. Step 2: Convert to fraction form
    13,714.35/18,924.35 = 10,131.18/x
  3. Step 3: Cross multiply
    13,714.35x = 18,924.35 × 10,131.18
  4. Step 4: Simplify right side
    13,714.35x = 191,725,945.58
  5. Step 5: Solve for x
    x = 191,725,945.58/13,714.35
  6. Step 6: Final answer
    x = 13,979.95

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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.