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Finding the Fourth Proportional to 21,516.35, 32,255.06 and 7,662.11

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Solution

The fourth proportional to 21,516.35, 32,255.06 and 7,662.11 is: 11,486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,516.35 : 32,255.06 = 7,662.11 : x
  2. Step 2: Convert to fraction form
    21,516.35/32,255.06 = 7,662.11/x
  3. Step 3: Cross multiply
    21,516.35x = 32,255.06 × 7,662.11
  4. Step 4: Simplify right side
    21,516.35x = 247,141,618.19
  5. Step 5: Solve for x
    x = 247,141,618.19/21,516.35
  6. Step 6: Final answer
    x = 11,486.23

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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.