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Finding the Fourth Proportional to 12,238.65, 16,881.43 and 8,408.46

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Solution

The fourth proportional to 12,238.65, 16,881.43 and 8,408.46 is: 11,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.65 : 16,881.43 = 8,408.46 : x
  2. Step 2: Convert to fraction form
    12,238.65/16,881.43 = 8,408.46/x
  3. Step 3: Cross multiply
    12,238.65x = 16,881.43 × 8,408.46
  4. Step 4: Simplify right side
    12,238.65x = 141,946,828.90
  5. Step 5: Solve for x
    x = 141,946,828.90/12,238.65
  6. Step 6: Final answer
    x = 11,598.24

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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.