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Finding the Fourth Proportional to 30,712.93, 42,383.70 and 17,284.41

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Solution

The fourth proportional to 30,712.93, 42,383.70 and 17,284.41 is: 23,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.93 : 42,383.70 = 17,284.41 : x
  2. Step 2: Convert to fraction form
    30,712.93/42,383.70 = 17,284.41/x
  3. Step 3: Cross multiply
    30,712.93x = 42,383.70 × 17,284.41
  4. Step 4: Simplify right side
    30,712.93x = 732,577,248.12
  5. Step 5: Solve for x
    x = 732,577,248.12/30,712.93
  6. Step 6: Final answer
    x = 23,852.41

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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.