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Finding the Fourth Proportional to 23,194.56, 34,806.12 and 9,152.16

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Solution

The fourth proportional to 23,194.56, 34,806.12 and 9,152.16 is: 13,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,194.56 : 34,806.12 = 9,152.16 : x
  2. Step 2: Convert to fraction form
    23,194.56/34,806.12 = 9,152.16/x
  3. Step 3: Cross multiply
    23,194.56x = 34,806.12 × 9,152.16
  4. Step 4: Simplify right side
    23,194.56x = 318,551,179.22
  5. Step 5: Solve for x
    x = 318,551,179.22/23,194.56
  6. Step 6: Final answer
    x = 13,733.87

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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.