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Finding the Fourth Proportional to 12,485.75, 17,230.16 and 6,820.43

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Solution

The fourth proportional to 12,485.75, 17,230.16 and 6,820.43 is: 9,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,485.75 : 17,230.16 = 6,820.43 : x
  2. Step 2: Convert to fraction form
    12,485.75/17,230.16 = 6,820.43/x
  3. Step 3: Cross multiply
    12,485.75x = 17,230.16 × 6,820.43
  4. Step 4: Simplify right side
    12,485.75x = 117,517,066.07
  5. Step 5: Solve for x
    x = 117,517,066.07/12,485.75
  6. Step 6: Final answer
    x = 9,412.10

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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.