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Finding the Fourth Proportional to 16,261.84, 24,339.30 and 12,344.68

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Solution

The fourth proportional to 16,261.84, 24,339.30 and 12,344.68 is: 18,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.84 : 24,339.30 = 12,344.68 : x
  2. Step 2: Convert to fraction form
    16,261.84/24,339.30 = 12,344.68/x
  3. Step 3: Cross multiply
    16,261.84x = 24,339.30 × 12,344.68
  4. Step 4: Simplify right side
    16,261.84x = 300,460,869.92
  5. Step 5: Solve for x
    x = 300,460,869.92/16,261.84
  6. Step 6: Final answer
    x = 18,476.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.