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Finding the Fourth Proportional to 16,294.10, 22,485.75 and 9,220.37

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Solution

The fourth proportional to 16,294.10, 22,485.75 and 9,220.37 is: 12,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.10 : 22,485.75 = 9,220.37 : x
  2. Step 2: Convert to fraction form
    16,294.10/22,485.75 = 9,220.37/x
  3. Step 3: Cross multiply
    16,294.10x = 22,485.75 × 9,220.37
  4. Step 4: Simplify right side
    16,294.10x = 207,326,934.73
  5. Step 5: Solve for x
    x = 207,326,934.73/16,294.10
  6. Step 6: Final answer
    x = 12,724.05

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