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Finding the Fourth Proportional to 21,740.44, 32,592.24 and 8,602.08

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Solution

The fourth proportional to 21,740.44, 32,592.24 and 8,602.08 is: 12,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,740.44 : 32,592.24 = 8,602.08 : x
  2. Step 2: Convert to fraction form
    21,740.44/32,592.24 = 8,602.08/x
  3. Step 3: Cross multiply
    21,740.44x = 32,592.24 × 8,602.08
  4. Step 4: Simplify right side
    21,740.44x = 280,361,055.86
  5. Step 5: Solve for x
    x = 280,361,055.86/21,740.44
  6. Step 6: Final answer
    x = 12,895.83

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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.