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Finding the Fourth Proportional to 12,531.10, 18,798.82 and 4,211.94

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Solution

The fourth proportional to 12,531.10, 18,798.82 and 4,211.94 is: 6,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.10 : 18,798.82 = 4,211.94 : x
  2. Step 2: Convert to fraction form
    12,531.10/18,798.82 = 4,211.94/x
  3. Step 3: Cross multiply
    12,531.10x = 18,798.82 × 4,211.94
  4. Step 4: Simplify right side
    12,531.10x = 79,179,501.91
  5. Step 5: Solve for x
    x = 79,179,501.91/12,531.10
  6. Step 6: Final answer
    x = 6,318.64

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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.