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Finding the Fourth Proportional to 19,666.19, 27,121.50 and 12,949.34

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Solution

The fourth proportional to 19,666.19, 27,121.50 and 12,949.34 is: 17,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.19 : 27,121.50 = 12,949.34 : x
  2. Step 2: Convert to fraction form
    19,666.19/27,121.50 = 12,949.34/x
  3. Step 3: Cross multiply
    19,666.19x = 27,121.50 × 12,949.34
  4. Step 4: Simplify right side
    19,666.19x = 351,205,389.20
  5. Step 5: Solve for x
    x = 351,205,389.20/19,666.19
  6. Step 6: Final answer
    x = 17,858.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.