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Finding the Fourth Proportional to 22,842.96, 31,532.98 and 13,893.32

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Solution

The fourth proportional to 22,842.96, 31,532.98 and 13,893.32 is: 19,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.96 : 31,532.98 = 13,893.32 : x
  2. Step 2: Convert to fraction form
    22,842.96/31,532.98 = 13,893.32/x
  3. Step 3: Cross multiply
    22,842.96x = 31,532.98 × 13,893.32
  4. Step 4: Simplify right side
    22,842.96x = 438,097,781.69
  5. Step 5: Solve for x
    x = 438,097,781.69/22,842.96
  6. Step 6: Final answer
    x = 19,178.68

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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.