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Finding the Fourth Proportional to 14,761.54, 22,146.24 and 6,442.22

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Solution

The fourth proportional to 14,761.54, 22,146.24 and 6,442.22 is: 9,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.54 : 22,146.24 = 6,442.22 : x
  2. Step 2: Convert to fraction form
    14,761.54/22,146.24 = 6,442.22/x
  3. Step 3: Cross multiply
    14,761.54x = 22,146.24 × 6,442.22
  4. Step 4: Simplify right side
    14,761.54x = 142,670,950.25
  5. Step 5: Solve for x
    x = 142,670,950.25/14,761.54
  6. Step 6: Final answer
    x = 9,665.05

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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.