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Finding the Fourth Proportional to 18,568.64, 25,625.44 and 10,184.96

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Solution

The fourth proportional to 18,568.64, 25,625.44 and 10,184.96 is: 14,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,568.64 : 25,625.44 = 10,184.96 : x
  2. Step 2: Convert to fraction form
    18,568.64/25,625.44 = 10,184.96/x
  3. Step 3: Cross multiply
    18,568.64x = 25,625.44 × 10,184.96
  4. Step 4: Simplify right side
    18,568.64x = 260,994,081.38
  5. Step 5: Solve for x
    x = 260,994,081.38/18,568.64
  6. Step 6: Final answer
    x = 14,055.64

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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.