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Finding the Fourth Proportional to 14,331.96, 19,768.68 and 9,022.32

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Solution

The fourth proportional to 14,331.96, 19,768.68 and 9,022.32 is: 12,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.96 : 19,768.68 = 9,022.32 : x
  2. Step 2: Convert to fraction form
    14,331.96/19,768.68 = 9,022.32/x
  3. Step 3: Cross multiply
    14,331.96x = 19,768.68 × 9,022.32
  4. Step 4: Simplify right side
    14,331.96x = 178,359,356.94
  5. Step 5: Solve for x
    x = 178,359,356.94/14,331.96
  6. Step 6: Final answer
    x = 12,444.87

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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.