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Finding the Fourth Proportional to 19,161.68, 26,442.96 and 10,778

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Solution

The fourth proportional to 19,161.68, 26,442.96 and 10,778 is: 14,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,161.68 : 26,442.96 = 10,778 : x
  2. Step 2: Convert to fraction form
    19,161.68/26,442.96 = 10,778/x
  3. Step 3: Cross multiply
    19,161.68x = 26,442.96 × 10,778
  4. Step 4: Simplify right side
    19,161.68x = 285,002,222.88
  5. Step 5: Solve for x
    x = 285,002,222.88/19,161.68
  6. Step 6: Final answer
    x = 14,873.55

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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.