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Finding the Fourth Proportional to 18,164.96, 25,068 and 10,207.84

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Solution

The fourth proportional to 18,164.96, 25,068 and 10,207.84 is: 14,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164.96 : 25,068 = 10,207.84 : x
  2. Step 2: Convert to fraction form
    18,164.96/25,068 = 10,207.84/x
  3. Step 3: Cross multiply
    18,164.96x = 25,068 × 10,207.84
  4. Step 4: Simplify right side
    18,164.96x = 255,890,133.12
  5. Step 5: Solve for x
    x = 255,890,133.12/18,164.96
  6. Step 6: Final answer
    x = 14,087.02

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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.