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Finding the Fourth Proportional to 14,961.14, 22,442.08 and 7,161.38

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Solution

The fourth proportional to 14,961.14, 22,442.08 and 7,161.38 is: 10,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,961.14 : 22,442.08 = 7,161.38 : x
  2. Step 2: Convert to fraction form
    14,961.14/22,442.08 = 7,161.38/x
  3. Step 3: Cross multiply
    14,961.14x = 22,442.08 × 7,161.38
  4. Step 4: Simplify right side
    14,961.14x = 160,716,262.87
  5. Step 5: Solve for x
    x = 160,716,262.87/14,961.14
  6. Step 6: Final answer
    x = 10,742.25

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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.