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Finding the Fourth Proportional to 21,574.89, 32,352.57 and 8,426.97

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Solution

The fourth proportional to 21,574.89, 32,352.57 and 8,426.97 is: 12,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.89 : 32,352.57 = 8,426.97 : x
  2. Step 2: Convert to fraction form
    21,574.89/32,352.57 = 8,426.97/x
  3. Step 3: Cross multiply
    21,574.89x = 32,352.57 × 8,426.97
  4. Step 4: Simplify right side
    21,574.89x = 272,634,136.81
  5. Step 5: Solve for x
    x = 272,634,136.81/21,574.89
  6. Step 6: Final answer
    x = 12,636.64

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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.