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Finding the Fourth Proportional to 25,803.96, 38,723.22 and 9,163.32

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Solution

The fourth proportional to 25,803.96, 38,723.22 and 9,163.32 is: 13,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.96 : 38,723.22 = 9,163.32 : x
  2. Step 2: Convert to fraction form
    25,803.96/38,723.22 = 9,163.32/x
  3. Step 3: Cross multiply
    25,803.96x = 38,723.22 × 9,163.32
  4. Step 4: Simplify right side
    25,803.96x = 354,833,256.29
  5. Step 5: Solve for x
    x = 354,833,256.29/25,803.96
  6. Step 6: Final answer
    x = 13,751.12

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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.