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Finding the Fourth Proportional to 21,565.73, 32,353.74 and 6,774.63

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Solution

The fourth proportional to 21,565.73, 32,353.74 and 6,774.63 is: 10,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565.73 : 32,353.74 = 6,774.63 : x
  2. Step 2: Convert to fraction form
    21,565.73/32,353.74 = 6,774.63/x
  3. Step 3: Cross multiply
    21,565.73x = 32,353.74 × 6,774.63
  4. Step 4: Simplify right side
    21,565.73x = 219,184,617.62
  5. Step 5: Solve for x
    x = 219,184,617.62/21,565.73
  6. Step 6: Final answer
    x = 10,163.56

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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.