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Finding the Fourth Proportional to 21,722.25, 32,583.74 and 8,574.51

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Solution

The fourth proportional to 21,722.25, 32,583.74 and 8,574.51 is: 12,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722.25 : 32,583.74 = 8,574.51 : x
  2. Step 2: Convert to fraction form
    21,722.25/32,583.74 = 8,574.51/x
  3. Step 3: Cross multiply
    21,722.25x = 32,583.74 × 8,574.51
  4. Step 4: Simplify right side
    21,722.25x = 279,389,561.59
  5. Step 5: Solve for x
    x = 279,389,561.59/21,722.25
  6. Step 6: Final answer
    x = 12,861.91

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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.