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Finding the Fourth Proportional to 12,606.20, 18,866.10 and 11,569.40

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Solution

The fourth proportional to 12,606.20, 18,866.10 and 11,569.40 is: 17,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.20 : 18,866.10 = 11,569.40 : x
  2. Step 2: Convert to fraction form
    12,606.20/18,866.10 = 11,569.40/x
  3. Step 3: Cross multiply
    12,606.20x = 18,866.10 × 11,569.40
  4. Step 4: Simplify right side
    12,606.20x = 218,269,457.34
  5. Step 5: Solve for x
    x = 218,269,457.34/12,606.20
  6. Step 6: Final answer
    x = 17,314.45

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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.