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Finding the Fourth Proportional to 22,696.86, 34,045.68 and 8,663.40

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Solution

The fourth proportional to 22,696.86, 34,045.68 and 8,663.40 is: 12,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.86 : 34,045.68 = 8,663.40 : x
  2. Step 2: Convert to fraction form
    22,696.86/34,045.68 = 8,663.40/x
  3. Step 3: Cross multiply
    22,696.86x = 34,045.68 × 8,663.40
  4. Step 4: Simplify right side
    22,696.86x = 294,951,344.11
  5. Step 5: Solve for x
    x = 294,951,344.11/22,696.86
  6. Step 6: Final answer
    x = 12,995.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.