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Finding the Fourth Proportional to 12,666.94, 18,997.10 and 3,780.18

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Solution

The fourth proportional to 12,666.94, 18,997.10 and 3,780.18 is: 5,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.94 : 18,997.10 = 3,780.18 : x
  2. Step 2: Convert to fraction form
    12,666.94/18,997.10 = 3,780.18/x
  3. Step 3: Cross multiply
    12,666.94x = 18,997.10 × 3,780.18
  4. Step 4: Simplify right side
    12,666.94x = 71,812,457.48
  5. Step 5: Solve for x
    x = 71,812,457.48/12,666.94
  6. Step 6: Final answer
    x = 5,669.28

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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.