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Finding the Fourth Proportional to 23,561.85, 32,515.20 and 12,806.67

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Solution

The fourth proportional to 23,561.85, 32,515.20 and 12,806.67 is: 17,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,561.85 : 32,515.20 = 12,806.67 : x
  2. Step 2: Convert to fraction form
    23,561.85/32,515.20 = 12,806.67/x
  3. Step 3: Cross multiply
    23,561.85x = 32,515.20 × 12,806.67
  4. Step 4: Simplify right side
    23,561.85x = 416,411,436.38
  5. Step 5: Solve for x
    x = 416,411,436.38/23,561.85
  6. Step 6: Final answer
    x = 17,673.12

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Why These Related Problems?

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