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Finding the Fourth Proportional to 22,663.50, 34,006.89 and 9,346.32

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Solution

The fourth proportional to 22,663.50, 34,006.89 and 9,346.32 is: 14,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.50 : 34,006.89 = 9,346.32 : x
  2. Step 2: Convert to fraction form
    22,663.50/34,006.89 = 9,346.32/x
  3. Step 3: Cross multiply
    22,663.50x = 34,006.89 × 9,346.32
  4. Step 4: Simplify right side
    22,663.50x = 317,839,276.14
  5. Step 5: Solve for x
    x = 317,839,276.14/22,663.50
  6. Step 6: Final answer
    x = 14,024.28

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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.