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Finding the Fourth Proportional to 23,143.38, 34,715.25 and 7,561.05

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Solution

The fourth proportional to 23,143.38, 34,715.25 and 7,561.05 is: 11,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.38 : 34,715.25 = 7,561.05 : x
  2. Step 2: Convert to fraction form
    23,143.38/34,715.25 = 7,561.05/x
  3. Step 3: Cross multiply
    23,143.38x = 34,715.25 × 7,561.05
  4. Step 4: Simplify right side
    23,143.38x = 262,483,741.01
  5. Step 5: Solve for x
    x = 262,483,741.01/23,143.38
  6. Step 6: Final answer
    x = 11,341.63

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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.