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Finding the Fourth Proportional to 14,142.16, 21,169.49 and 12,042.64

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Solution

The fourth proportional to 14,142.16, 21,169.49 and 12,042.64 is: 18,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.16 : 21,169.49 = 12,042.64 : x
  2. Step 2: Convert to fraction form
    14,142.16/21,169.49 = 12,042.64/x
  3. Step 3: Cross multiply
    14,142.16x = 21,169.49 × 12,042.64
  4. Step 4: Simplify right side
    14,142.16x = 254,936,513.30
  5. Step 5: Solve for x
    x = 254,936,513.30/14,142.16
  6. Step 6: Final answer
    x = 18,026.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.