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Finding the Fourth Proportional to 22,287.78, 33,430.86 and 6,705

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Solution

The fourth proportional to 22,287.78, 33,430.86 and 6,705 is: 10,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287.78 : 33,430.86 = 6,705 : x
  2. Step 2: Convert to fraction form
    22,287.78/33,430.86 = 6,705/x
  3. Step 3: Cross multiply
    22,287.78x = 33,430.86 × 6,705
  4. Step 4: Simplify right side
    22,287.78x = 224,153,916.30
  5. Step 5: Solve for x
    x = 224,153,916.30/22,287.78
  6. Step 6: Final answer
    x = 10,057.26

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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.