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Finding the Fourth Proportional to 30,712.83, 42,383.21 and 17,284.08

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Solution

The fourth proportional to 30,712.83, 42,383.21 and 17,284.08 is: 23,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.83 : 42,383.21 = 17,284.08 : x
  2. Step 2: Convert to fraction form
    30,712.83/42,383.21 = 17,284.08/x
  3. Step 3: Cross multiply
    30,712.83x = 42,383.21 × 17,284.08
  4. Step 4: Simplify right side
    30,712.83x = 732,554,792.30
  5. Step 5: Solve for x
    x = 732,554,792.30/30,712.83
  6. Step 6: Final answer
    x = 23,851.75

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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.