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Finding the Fourth Proportional to 21,926.44, 32,890.74 and 9,448.12

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Solution

The fourth proportional to 21,926.44, 32,890.74 and 9,448.12 is: 14,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,926.44 : 32,890.74 = 9,448.12 : x
  2. Step 2: Convert to fraction form
    21,926.44/32,890.74 = 9,448.12/x
  3. Step 3: Cross multiply
    21,926.44x = 32,890.74 × 9,448.12
  4. Step 4: Simplify right side
    21,926.44x = 310,755,658.41
  5. Step 5: Solve for x
    x = 310,755,658.41/21,926.44
  6. Step 6: Final answer
    x = 14,172.65

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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.