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Finding the Fourth Proportional to 13,561.76, 18,714.68 and 7,593.31

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Solution

The fourth proportional to 13,561.76, 18,714.68 and 7,593.31 is: 10,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.76 : 18,714.68 = 7,593.31 : x
  2. Step 2: Convert to fraction form
    13,561.76/18,714.68 = 7,593.31/x
  3. Step 3: Cross multiply
    13,561.76x = 18,714.68 × 7,593.31
  4. Step 4: Simplify right side
    13,561.76x = 142,106,380.69
  5. Step 5: Solve for x
    x = 142,106,380.69/13,561.76
  6. Step 6: Final answer
    x = 10,478.46

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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.