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Finding the Fourth Proportional to 23,516.65, 32,453.25 and 12,906.07

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Solution

The fourth proportional to 23,516.65, 32,453.25 and 12,906.07 is: 17,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,516.65 : 32,453.25 = 12,906.07 : x
  2. Step 2: Convert to fraction form
    23,516.65/32,453.25 = 12,906.07/x
  3. Step 3: Cross multiply
    23,516.65x = 32,453.25 × 12,906.07
  4. Step 4: Simplify right side
    23,516.65x = 418,843,916.23
  5. Step 5: Solve for x
    x = 418,843,916.23/23,516.65
  6. Step 6: Final answer
    x = 17,810.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.