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Finding the Fourth Proportional to 21,638.70, 32,458.86 and 6,055.92

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Solution

The fourth proportional to 21,638.70, 32,458.86 and 6,055.92 is: 9,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.70 : 32,458.86 = 6,055.92 : x
  2. Step 2: Convert to fraction form
    21,638.70/32,458.86 = 6,055.92/x
  3. Step 3: Cross multiply
    21,638.70x = 32,458.86 × 6,055.92
  4. Step 4: Simplify right side
    21,638.70x = 196,568,259.45
  5. Step 5: Solve for x
    x = 196,568,259.45/21,638.70
  6. Step 6: Final answer
    x = 9,084.11

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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.