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Finding the Fourth Proportional to 23,142.16, 34,713.36 and 7,561.12

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Solution

The fourth proportional to 23,142.16, 34,713.36 and 7,561.12 is: 11,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.16 : 34,713.36 = 7,561.12 : x
  2. Step 2: Convert to fraction form
    23,142.16/34,713.36 = 7,561.12/x
  3. Step 3: Cross multiply
    23,142.16x = 34,713.36 × 7,561.12
  4. Step 4: Simplify right side
    23,142.16x = 262,471,880.56
  5. Step 5: Solve for x
    x = 262,471,880.56/23,142.16
  6. Step 6: Final answer
    x = 11,341.72

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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.