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Finding the Fourth Proportional to 25,145.45, 37,723.03 and 9,561.86

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Solution

The fourth proportional to 25,145.45, 37,723.03 and 9,561.86 is: 14,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,145.45 : 37,723.03 = 9,561.86 : x
  2. Step 2: Convert to fraction form
    25,145.45/37,723.03 = 9,561.86/x
  3. Step 3: Cross multiply
    25,145.45x = 37,723.03 × 9,561.86
  4. Step 4: Simplify right side
    25,145.45x = 360,702,331.64
  5. Step 5: Solve for x
    x = 360,702,331.64/25,145.45
  6. Step 6: Final answer
    x = 14,344.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.