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Finding the Fourth Proportional to 21,484.88, 32,238.84 and 9,170

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Solution

The fourth proportional to 21,484.88, 32,238.84 and 9,170 is: 13,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,484.88 : 32,238.84 = 9,170 : x
  2. Step 2: Convert to fraction form
    21,484.88/32,238.84 = 9,170/x
  3. Step 3: Cross multiply
    21,484.88x = 32,238.84 × 9,170
  4. Step 4: Simplify right side
    21,484.88x = 295,630,162.80
  5. Step 5: Solve for x
    x = 295,630,162.80/21,484.88
  6. Step 6: Final answer
    x = 13,759.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.