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Finding the Fourth Proportional to 22,573.38, 31,150.98 and 12,502.22

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Solution

The fourth proportional to 22,573.38, 31,150.98 and 12,502.22 is: 17,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,573.38 : 31,150.98 = 12,502.22 : x
  2. Step 2: Convert to fraction form
    22,573.38/31,150.98 = 12,502.22/x
  3. Step 3: Cross multiply
    22,573.38x = 31,150.98 × 12,502.22
  4. Step 4: Simplify right side
    22,573.38x = 389,456,405.18
  5. Step 5: Solve for x
    x = 389,456,405.18/22,573.38
  6. Step 6: Final answer
    x = 17,252.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.