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Finding the Fourth Proportional to 14,774.29, 22,165.78 and 6,881.43

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Solution

The fourth proportional to 14,774.29, 22,165.78 and 6,881.43 is: 10,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774.29 : 22,165.78 = 6,881.43 : x
  2. Step 2: Convert to fraction form
    14,774.29/22,165.78 = 6,881.43/x
  3. Step 3: Cross multiply
    14,774.29x = 22,165.78 × 6,881.43
  4. Step 4: Simplify right side
    14,774.29x = 152,532,260.59
  5. Step 5: Solve for x
    x = 152,532,260.59/14,774.29
  6. Step 6: Final answer
    x = 10,324.17

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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.