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Finding the Fourth Proportional to 12,820.02, 17,694.86 and 7,234.26

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Solution

The fourth proportional to 12,820.02, 17,694.86 and 7,234.26 is: 9,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.02 : 17,694.86 = 7,234.26 : x
  2. Step 2: Convert to fraction form
    12,820.02/17,694.86 = 7,234.26/x
  3. Step 3: Cross multiply
    12,820.02x = 17,694.86 × 7,234.26
  4. Step 4: Simplify right side
    12,820.02x = 128,009,217.90
  5. Step 5: Solve for x
    x = 128,009,217.90/12,820.02
  6. Step 6: Final answer
    x = 9,985.10

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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.