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Finding the Fourth Proportional to 14,411.75, 19,885.17 and 8,749.47

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Solution

The fourth proportional to 14,411.75, 19,885.17 and 8,749.47 is: 12,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.75 : 19,885.17 = 8,749.47 : x
  2. Step 2: Convert to fraction form
    14,411.75/19,885.17 = 8,749.47/x
  3. Step 3: Cross multiply
    14,411.75x = 19,885.17 × 8,749.47
  4. Step 4: Simplify right side
    14,411.75x = 173,984,698.36
  5. Step 5: Solve for x
    x = 173,984,698.36/14,411.75
  6. Step 6: Final answer
    x = 12,072.42

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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.