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Finding the Fourth Proportional to 12,434.46, 17,159.62 and 6,769.24

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Solution

The fourth proportional to 12,434.46, 17,159.62 and 6,769.24 is: 9,341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.46 : 17,159.62 = 6,769.24 : x
  2. Step 2: Convert to fraction form
    12,434.46/17,159.62 = 6,769.24/x
  3. Step 3: Cross multiply
    12,434.46x = 17,159.62 × 6,769.24
  4. Step 4: Simplify right side
    12,434.46x = 116,157,586.09
  5. Step 5: Solve for x
    x = 116,157,586.09/12,434.46
  6. Step 6: Final answer
    x = 9,341.59

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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.