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Finding the Fourth Proportional to 12,446.82, 18,676.71 and 5,056.74

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Solution

The fourth proportional to 12,446.82, 18,676.71 and 5,056.74 is: 7,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.82 : 18,676.71 = 5,056.74 : x
  2. Step 2: Convert to fraction form
    12,446.82/18,676.71 = 5,056.74/x
  3. Step 3: Cross multiply
    12,446.82x = 18,676.71 × 5,056.74
  4. Step 4: Simplify right side
    12,446.82x = 94,443,266.53
  5. Step 5: Solve for x
    x = 94,443,266.53/12,446.82
  6. Step 6: Final answer
    x = 7,587.74

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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.