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Finding the Fourth Proportional to 18,617.22, 25,691.34 and 10,549.68

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Solution

The fourth proportional to 18,617.22, 25,691.34 and 10,549.68 is: 14,558.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,617.22 : 25,691.34 = 10,549.68 : x
  2. Step 2: Convert to fraction form
    18,617.22/25,691.34 = 10,549.68/x
  3. Step 3: Cross multiply
    18,617.22x = 25,691.34 × 10,549.68
  4. Step 4: Simplify right side
    18,617.22x = 271,035,415.77
  5. Step 5: Solve for x
    x = 271,035,415.77/18,617.22
  6. Step 6: Final answer
    x = 14,558.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.