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Finding the Fourth Proportional to 12,310.26, 18,461.70 and 6,463.68

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Solution

The fourth proportional to 12,310.26, 18,461.70 and 6,463.68 is: 9,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.26 : 18,461.70 = 6,463.68 : x
  2. Step 2: Convert to fraction form
    12,310.26/18,461.70 = 6,463.68/x
  3. Step 3: Cross multiply
    12,310.26x = 18,461.70 × 6,463.68
  4. Step 4: Simplify right side
    12,310.26x = 119,330,521.06
  5. Step 5: Solve for x
    x = 119,330,521.06/12,310.26
  6. Step 6: Final answer
    x = 9,693.58

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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.