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Finding the Fourth Proportional to 12,841.68, 19,199.24 and 10,889.10

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Solution

The fourth proportional to 12,841.68, 19,199.24 and 10,889.10 is: 16,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.68 : 19,199.24 = 10,889.10 : x
  2. Step 2: Convert to fraction form
    12,841.68/19,199.24 = 10,889.10/x
  3. Step 3: Cross multiply
    12,841.68x = 19,199.24 × 10,889.10
  4. Step 4: Simplify right side
    12,841.68x = 209,062,364.99
  5. Step 5: Solve for x
    x = 209,062,364.99/12,841.68
  6. Step 6: Final answer
    x = 16,279.99

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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.