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Finding the Fourth Proportional to 13,714.32, 18,936.96 and 8,412.56

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Solution

The fourth proportional to 13,714.32, 18,936.96 and 8,412.56 is: 11,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.32 : 18,936.96 = 8,412.56 : x
  2. Step 2: Convert to fraction form
    13,714.32/18,936.96 = 8,412.56/x
  3. Step 3: Cross multiply
    13,714.32x = 18,936.96 × 8,412.56
  4. Step 4: Simplify right side
    13,714.32x = 159,308,312.22
  5. Step 5: Solve for x
    x = 159,308,312.22/13,714.32
  6. Step 6: Final answer
    x = 11,616.20

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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.