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Finding the Fourth Proportional to 30,712.65, 42,383.31 and 17,284.13

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Solution

The fourth proportional to 30,712.65, 42,383.31 and 17,284.13 is: 23,852.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.65 : 42,383.31 = 17,284.13 : x
  2. Step 2: Convert to fraction form
    30,712.65/42,383.31 = 17,284.13/x
  3. Step 3: Cross multiply
    30,712.65x = 42,383.31 × 17,284.13
  4. Step 4: Simplify right side
    30,712.65x = 732,558,427.95
  5. Step 5: Solve for x
    x = 732,558,427.95/30,712.65
  6. Step 6: Final answer
    x = 23,852.01

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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.