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Finding the Fourth Proportional to 21,176.22, 31,776.63 and 9,489.45

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Solution

The fourth proportional to 21,176.22, 31,776.63 and 9,489.45 is: 14,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176.22 : 31,776.63 = 9,489.45 : x
  2. Step 2: Convert to fraction form
    21,176.22/31,776.63 = 9,489.45/x
  3. Step 3: Cross multiply
    21,176.22x = 31,776.63 × 9,489.45
  4. Step 4: Simplify right side
    21,176.22x = 301,542,741.55
  5. Step 5: Solve for x
    x = 301,542,741.55/21,176.22
  6. Step 6: Final answer
    x = 14,239.69

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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.