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Finding the Fourth Proportional to 16,294.36, 22,486.02 and 9,220.60

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Solution

The fourth proportional to 16,294.36, 22,486.02 and 9,220.60 is: 12,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.36 : 22,486.02 = 9,220.60 : x
  2. Step 2: Convert to fraction form
    16,294.36/22,486.02 = 9,220.60/x
  3. Step 3: Cross multiply
    16,294.36x = 22,486.02 × 9,220.60
  4. Step 4: Simplify right side
    16,294.36x = 207,334,596.01
  5. Step 5: Solve for x
    x = 207,334,596.01/16,294.36
  6. Step 6: Final answer
    x = 12,724.32

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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.