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Finding the Fourth Proportional to 12,134.23, 16,743.90 and 6,828.96

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Solution

The fourth proportional to 12,134.23, 16,743.90 and 6,828.96 is: 9,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.23 : 16,743.90 = 6,828.96 : x
  2. Step 2: Convert to fraction form
    12,134.23/16,743.90 = 6,828.96/x
  3. Step 3: Cross multiply
    12,134.23x = 16,743.90 × 6,828.96
  4. Step 4: Simplify right side
    12,134.23x = 114,343,423.34
  5. Step 5: Solve for x
    x = 114,343,423.34/12,134.23
  6. Step 6: Final answer
    x = 9,423.21

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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.