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Finding the Fourth Proportional to 13,690.02, 18,891.08 and 8,024.02

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Solution

The fourth proportional to 13,690.02, 18,891.08 and 8,024.02 is: 11,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.02 : 18,891.08 = 8,024.02 : x
  2. Step 2: Convert to fraction form
    13,690.02/18,891.08 = 8,024.02/x
  3. Step 3: Cross multiply
    13,690.02x = 18,891.08 × 8,024.02
  4. Step 4: Simplify right side
    13,690.02x = 151,582,403.74
  5. Step 5: Solve for x
    x = 151,582,403.74/13,690.02
  6. Step 6: Final answer
    x = 11,072.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.