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Finding the Fourth Proportional to 12,702.22, 19,053.97 and 8,026.16

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Solution

The fourth proportional to 12,702.22, 19,053.97 and 8,026.16 is: 12,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.22 : 19,053.97 = 8,026.16 : x
  2. Step 2: Convert to fraction form
    12,702.22/19,053.97 = 8,026.16/x
  3. Step 3: Cross multiply
    12,702.22x = 19,053.97 × 8,026.16
  4. Step 4: Simplify right side
    12,702.22x = 152,930,096.52
  5. Step 5: Solve for x
    x = 152,930,096.52/12,702.22
  6. Step 6: Final answer
    x = 12,039.64

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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.