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Finding the Fourth Proportional to 20,955.92, 31,438.86 and 6,165.32

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Solution

The fourth proportional to 20,955.92, 31,438.86 and 6,165.32 is: 9,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,955.92 : 31,438.86 = 6,165.32 : x
  2. Step 2: Convert to fraction form
    20,955.92/31,438.86 = 6,165.32/x
  3. Step 3: Cross multiply
    20,955.92x = 31,438.86 × 6,165.32
  4. Step 4: Simplify right side
    20,955.92x = 193,830,632.34
  5. Step 5: Solve for x
    x = 193,830,632.34/20,955.92
  6. Step 6: Final answer
    x = 9,249.45

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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.