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Finding the Fourth Proportional to 23,383.69, 32,268.16 and 13,314.58

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Solution

The fourth proportional to 23,383.69, 32,268.16 and 13,314.58 is: 18,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383.69 : 32,268.16 = 13,314.58 : x
  2. Step 2: Convert to fraction form
    23,383.69/32,268.16 = 13,314.58/x
  3. Step 3: Cross multiply
    23,383.69x = 32,268.16 × 13,314.58
  4. Step 4: Simplify right side
    23,383.69x = 429,636,997.77
  5. Step 5: Solve for x
    x = 429,636,997.77/23,383.69
  6. Step 6: Final answer
    x = 18,373.36

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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.