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Finding the Fourth Proportional to 22,842.96, 31,526.85 and 13,893.24

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Solution

The fourth proportional to 22,842.96, 31,526.85 and 13,893.24 is: 19,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.96 : 31,526.85 = 13,893.24 : x
  2. Step 2: Convert to fraction form
    22,842.96/31,526.85 = 13,893.24/x
  3. Step 3: Cross multiply
    22,842.96x = 31,526.85 × 13,893.24
  4. Step 4: Simplify right side
    22,842.96x = 438,010,093.49
  5. Step 5: Solve for x
    x = 438,010,093.49/22,842.96
  6. Step 6: Final answer
    x = 19,174.84

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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.