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Finding the Fourth Proportional to 21,765.39, 30,038.06 and 12,205.12

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Solution

The fourth proportional to 21,765.39, 30,038.06 and 12,205.12 is: 16,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,765.39 : 30,038.06 = 12,205.12 : x
  2. Step 2: Convert to fraction form
    21,765.39/30,038.06 = 12,205.12/x
  3. Step 3: Cross multiply
    21,765.39x = 30,038.06 × 12,205.12
  4. Step 4: Simplify right side
    21,765.39x = 366,618,126.87
  5. Step 5: Solve for x
    x = 366,618,126.87/21,765.39
  6. Step 6: Final answer
    x = 16,844.09

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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.