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Finding the Fourth Proportional to 22,497.63, 33,702.57 and 14,682.75

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Solution

The fourth proportional to 22,497.63, 33,702.57 and 14,682.75 is: 21,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.63 : 33,702.57 = 14,682.75 : x
  2. Step 2: Convert to fraction form
    22,497.63/33,702.57 = 14,682.75/x
  3. Step 3: Cross multiply
    22,497.63x = 33,702.57 × 14,682.75
  4. Step 4: Simplify right side
    22,497.63x = 494,846,409.67
  5. Step 5: Solve for x
    x = 494,846,409.67/22,497.63
  6. Step 6: Final answer
    x = 21,995.49

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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.