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Finding the Fourth Proportional to 12,426.82, 17,159.95 and 8,457.41

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Solution

The fourth proportional to 12,426.82, 17,159.95 and 8,457.41 is: 11,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.82 : 17,159.95 = 8,457.41 : x
  2. Step 2: Convert to fraction form
    12,426.82/17,159.95 = 8,457.41/x
  3. Step 3: Cross multiply
    12,426.82x = 17,159.95 × 8,457.41
  4. Step 4: Simplify right side
    12,426.82x = 145,128,786.20
  5. Step 5: Solve for x
    x = 145,128,786.20/12,426.82
  6. Step 6: Final answer
    x = 11,678.68

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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.