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Finding the Fourth Proportional to 21,695.26, 32,546.96 and 9,849.86

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Solution

The fourth proportional to 21,695.26, 32,546.96 and 9,849.86 is: 14,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,695.26 : 32,546.96 = 9,849.86 : x
  2. Step 2: Convert to fraction form
    21,695.26/32,546.96 = 9,849.86/x
  3. Step 3: Cross multiply
    21,695.26x = 32,546.96 × 9,849.86
  4. Step 4: Simplify right side
    21,695.26x = 320,582,950.18
  5. Step 5: Solve for x
    x = 320,582,950.18/21,695.26
  6. Step 6: Final answer
    x = 14,776.64

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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.