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Finding the Fourth Proportional to 12,343.91, 17,034.50 and 6,678.63

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Solution

The fourth proportional to 12,343.91, 17,034.50 and 6,678.63 is: 9,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.91 : 17,034.50 = 6,678.63 : x
  2. Step 2: Convert to fraction form
    12,343.91/17,034.50 = 6,678.63/x
  3. Step 3: Cross multiply
    12,343.91x = 17,034.50 × 6,678.63
  4. Step 4: Simplify right side
    12,343.91x = 113,767,089.34
  5. Step 5: Solve for x
    x = 113,767,089.34/12,343.91
  6. Step 6: Final answer
    x = 9,216.46

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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.