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Finding the Fourth Proportional to 12,646.92, 18,969.70 and 3,881.84

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Solution

The fourth proportional to 12,646.92, 18,969.70 and 3,881.84 is: 5,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.92 : 18,969.70 = 3,881.84 : x
  2. Step 2: Convert to fraction form
    12,646.92/18,969.70 = 3,881.84/x
  3. Step 3: Cross multiply
    12,646.92x = 18,969.70 × 3,881.84
  4. Step 4: Simplify right side
    12,646.92x = 73,637,225.99
  5. Step 5: Solve for x
    x = 73,637,225.99/12,646.92
  6. Step 6: Final answer
    x = 5,822.54

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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.