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Finding the Fourth Proportional to 12,704.12, 17,529.42 and 7,114.04

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Solution

The fourth proportional to 12,704.12, 17,529.42 and 7,114.04 is: 9,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.12 : 17,529.42 = 7,114.04 : x
  2. Step 2: Convert to fraction form
    12,704.12/17,529.42 = 7,114.04/x
  3. Step 3: Cross multiply
    12,704.12x = 17,529.42 × 7,114.04
  4. Step 4: Simplify right side
    12,704.12x = 124,704,995.06
  5. Step 5: Solve for x
    x = 124,704,995.06/12,704.12
  6. Step 6: Final answer
    x = 9,816.11

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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.