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Finding the Fourth Proportional to 22,209, 30,647.52 and 12,137.78

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Solution

The fourth proportional to 22,209, 30,647.52 and 12,137.78 is: 16,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,209 : 30,647.52 = 12,137.78 : x
  2. Step 2: Convert to fraction form
    22,209/30,647.52 = 12,137.78/x
  3. Step 3: Cross multiply
    22,209x = 30,647.52 × 12,137.78
  4. Step 4: Simplify right side
    22,209x = 371,992,855.31
  5. Step 5: Solve for x
    x = 371,992,855.31/22,209
  6. Step 6: Final answer
    x = 16,749.64

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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.