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Finding the Fourth Proportional to 14,264.78, 19,678.77 and 9,230.62

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Solution

The fourth proportional to 14,264.78, 19,678.77 and 9,230.62 is: 12,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.78 : 19,678.77 = 9,230.62 : x
  2. Step 2: Convert to fraction form
    14,264.78/19,678.77 = 9,230.62/x
  3. Step 3: Cross multiply
    14,264.78x = 19,678.77 × 9,230.62
  4. Step 4: Simplify right side
    14,264.78x = 181,647,201.78
  5. Step 5: Solve for x
    x = 181,647,201.78/14,264.78
  6. Step 6: Final answer
    x = 12,733.96

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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.