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Finding the Fourth Proportional to 22,098.31, 30,495.09 and 12,026.54

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Solution

The fourth proportional to 22,098.31, 30,495.09 and 12,026.54 is: 16,596.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.31 : 30,495.09 = 12,026.54 : x
  2. Step 2: Convert to fraction form
    22,098.31/30,495.09 = 12,026.54/x
  3. Step 3: Cross multiply
    22,098.31x = 30,495.09 × 12,026.54
  4. Step 4: Simplify right side
    22,098.31x = 366,750,419.69
  5. Step 5: Solve for x
    x = 366,750,419.69/22,098.31
  6. Step 6: Final answer
    x = 16,596.31

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1.5x scale

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.