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Finding the Fourth Proportional to 14,846.84, 20,488.94 and 8,132.47

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Solution

The fourth proportional to 14,846.84, 20,488.94 and 8,132.47 is: 11,222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.84 : 20,488.94 = 8,132.47 : x
  2. Step 2: Convert to fraction form
    14,846.84/20,488.94 = 8,132.47/x
  3. Step 3: Cross multiply
    14,846.84x = 20,488.94 × 8,132.47
  4. Step 4: Simplify right side
    14,846.84x = 166,625,669.55
  5. Step 5: Solve for x
    x = 166,625,669.55/14,846.84
  6. Step 6: Final answer
    x = 11,222.97

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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.