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Finding the Fourth Proportional to 18,157.38, 25,055.72 and 10,199.34

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Solution

The fourth proportional to 18,157.38, 25,055.72 and 10,199.34 is: 14,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,157.38 : 25,055.72 = 10,199.34 : x
  2. Step 2: Convert to fraction form
    18,157.38/25,055.72 = 10,199.34/x
  3. Step 3: Cross multiply
    18,157.38x = 25,055.72 × 10,199.34
  4. Step 4: Simplify right side
    18,157.38x = 255,551,807.22
  5. Step 5: Solve for x
    x = 255,551,807.22/18,157.38
  6. Step 6: Final answer
    x = 14,074.27

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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.