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Finding the Fourth Proportional to 12,646.10, 18,943.74 and 6,301.84

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Solution

The fourth proportional to 12,646.10, 18,943.74 and 6,301.84 is: 9,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.10 : 18,943.74 = 6,301.84 : x
  2. Step 2: Convert to fraction form
    12,646.10/18,943.74 = 6,301.84/x
  3. Step 3: Cross multiply
    12,646.10x = 18,943.74 × 6,301.84
  4. Step 4: Simplify right side
    12,646.10x = 119,380,418.48
  5. Step 5: Solve for x
    x = 119,380,418.48/12,646.10
  6. Step 6: Final answer
    x = 9,440.10

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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.