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Finding the Fourth Proportional to 22,333.96, 30,814.30 and 13,842.32

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Solution

The fourth proportional to 22,333.96, 30,814.30 and 13,842.32 is: 19,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,333.96 : 30,814.30 = 13,842.32 : x
  2. Step 2: Convert to fraction form
    22,333.96/30,814.30 = 13,842.32/x
  3. Step 3: Cross multiply
    22,333.96x = 30,814.30 × 13,842.32
  4. Step 4: Simplify right side
    22,333.96x = 426,541,401.18
  5. Step 5: Solve for x
    x = 426,541,401.18/22,333.96
  6. Step 6: Final answer
    x = 19,098.33

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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.