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Finding the Fourth Proportional to 21,662.10, 29,893.34 and 12,102.16

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Solution

The fourth proportional to 21,662.10, 29,893.34 and 12,102.16 is: 16,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.10 : 29,893.34 = 12,102.16 : x
  2. Step 2: Convert to fraction form
    21,662.10/29,893.34 = 12,102.16/x
  3. Step 3: Cross multiply
    21,662.10x = 29,893.34 × 12,102.16
  4. Step 4: Simplify right side
    21,662.10x = 361,773,983.61
  5. Step 5: Solve for x
    x = 361,773,983.61/21,662.10
  6. Step 6: Final answer
    x = 16,700.78

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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.