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Finding the Fourth Proportional to 23,143.82, 34,715.82 and 5,613.63

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Solution

The fourth proportional to 23,143.82, 34,715.82 and 5,613.63 is: 8,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.82 : 34,715.82 = 5,613.63 : x
  2. Step 2: Convert to fraction form
    23,143.82/34,715.82 = 5,613.63/x
  3. Step 3: Cross multiply
    23,143.82x = 34,715.82 × 5,613.63
  4. Step 4: Simplify right side
    23,143.82x = 194,881,768.63
  5. Step 5: Solve for x
    x = 194,881,768.63/23,143.82
  6. Step 6: Final answer
    x = 8,420.47

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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.