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Finding the Fourth Proportional to 21,616.22, 29,830.84 and 12,184.78

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Solution

The fourth proportional to 21,616.22, 29,830.84 and 12,184.78 is: 16,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616.22 : 29,830.84 = 12,184.78 : x
  2. Step 2: Convert to fraction form
    21,616.22/29,830.84 = 12,184.78/x
  3. Step 3: Cross multiply
    21,616.22x = 29,830.84 × 12,184.78
  4. Step 4: Simplify right side
    21,616.22x = 363,482,222.62
  5. Step 5: Solve for x
    x = 363,482,222.62/21,616.22
  6. Step 6: Final answer
    x = 16,815.25

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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.