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Finding the Fourth Proportional to 21,595.22, 32,373.39 and 7,734.50

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Solution

The fourth proportional to 21,595.22, 32,373.39 and 7,734.50 is: 11,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,595.22 : 32,373.39 = 7,734.50 : x
  2. Step 2: Convert to fraction form
    21,595.22/32,373.39 = 7,734.50/x
  3. Step 3: Cross multiply
    21,595.22x = 32,373.39 × 7,734.50
  4. Step 4: Simplify right side
    21,595.22x = 250,391,984.96
  5. Step 5: Solve for x
    x = 250,391,984.96/21,595.22
  6. Step 6: Final answer
    x = 11,594.79

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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.