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Finding the Fourth Proportional to 21,516.84, 32,275.56 and 5,722.14

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Solution

The fourth proportional to 21,516.84, 32,275.56 and 5,722.14 is: 8,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,516.84 : 32,275.56 = 5,722.14 : x
  2. Step 2: Convert to fraction form
    21,516.84/32,275.56 = 5,722.14/x
  3. Step 3: Cross multiply
    21,516.84x = 32,275.56 × 5,722.14
  4. Step 4: Simplify right side
    21,516.84x = 184,685,272.90
  5. Step 5: Solve for x
    x = 184,685,272.90/21,516.84
  6. Step 6: Final answer
    x = 8,583.29

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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.