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Finding the Fourth Proportional to 14,463.84, 19,960.96 and 8,176.80

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Solution

The fourth proportional to 14,463.84, 19,960.96 and 8,176.80 is: 11,284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.84 : 19,960.96 = 8,176.80 : x
  2. Step 2: Convert to fraction form
    14,463.84/19,960.96 = 8,176.80/x
  3. Step 3: Cross multiply
    14,463.84x = 19,960.96 × 8,176.80
  4. Step 4: Simplify right side
    14,463.84x = 163,216,777.73
  5. Step 5: Solve for x
    x = 163,216,777.73/14,463.84
  6. Step 6: Final answer
    x = 11,284.47

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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.