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Finding the Fourth Proportional to 22,048.68, 33,077.82 and 7,257

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Solution

The fourth proportional to 22,048.68, 33,077.82 and 7,257 is: 10,887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048.68 : 33,077.82 = 7,257 : x
  2. Step 2: Convert to fraction form
    22,048.68/33,077.82 = 7,257/x
  3. Step 3: Cross multiply
    22,048.68x = 33,077.82 × 7,257
  4. Step 4: Simplify right side
    22,048.68x = 240,045,739.74
  5. Step 5: Solve for x
    x = 240,045,739.74/22,048.68
  6. Step 6: Final answer
    x = 10,887.08

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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.