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Finding the Fourth Proportional to 22,035.78, 33,053.67 and 6,453

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Solution

The fourth proportional to 22,035.78, 33,053.67 and 6,453 is: 9,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035.78 : 33,053.67 = 6,453 : x
  2. Step 2: Convert to fraction form
    22,035.78/33,053.67 = 6,453/x
  3. Step 3: Cross multiply
    22,035.78x = 33,053.67 × 6,453
  4. Step 4: Simplify right side
    22,035.78x = 213,295,332.51
  5. Step 5: Solve for x
    x = 213,295,332.51/22,035.78
  6. Step 6: Final answer
    x = 9,679.50

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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.