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Finding the Fourth Proportional to 22,495.68, 33,733.44 and 8,640

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Solution

The fourth proportional to 22,495.68, 33,733.44 and 8,640 is: 12,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,495.68 : 33,733.44 = 8,640 : x
  2. Step 2: Convert to fraction form
    22,495.68/33,733.44 = 8,640/x
  3. Step 3: Cross multiply
    22,495.68x = 33,733.44 × 8,640
  4. Step 4: Simplify right side
    22,495.68x = 291,456,921.60
  5. Step 5: Solve for x
    x = 291,456,921.60/22,495.68
  6. Step 6: Final answer
    x = 12,956.13

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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.