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Finding the Fourth Proportional to 12,704.93, 17,532.34 and 7,039.93

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Solution

The fourth proportional to 12,704.93, 17,532.34 and 7,039.93 is: 9,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.93 : 17,532.34 = 7,039.93 : x
  2. Step 2: Convert to fraction form
    12,704.93/17,532.34 = 7,039.93/x
  3. Step 3: Cross multiply
    12,704.93x = 17,532.34 × 7,039.93
  4. Step 4: Simplify right side
    12,704.93x = 123,426,446.34
  5. Step 5: Solve for x
    x = 123,426,446.34/12,704.93
  6. Step 6: Final answer
    x = 9,714.85

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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.