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Finding the Fourth Proportional to 22,389.84, 33,580.92 and 5,970

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Solution

The fourth proportional to 22,389.84, 33,580.92 and 5,970 is: 8,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,389.84 : 33,580.92 = 5,970 : x
  2. Step 2: Convert to fraction form
    22,389.84/33,580.92 = 5,970/x
  3. Step 3: Cross multiply
    22,389.84x = 33,580.92 × 5,970
  4. Step 4: Simplify right side
    22,389.84x = 200,478,092.40
  5. Step 5: Solve for x
    x = 200,478,092.40/22,389.84
  6. Step 6: Final answer
    x = 8,953.98

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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.