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Finding the Fourth Proportional to 30,671.22, 42,314.29 and 17,239.40

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Solution

The fourth proportional to 30,671.22, 42,314.29 and 17,239.40 is: 23,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.22 : 42,314.29 = 17,239.40 : x
  2. Step 2: Convert to fraction form
    30,671.22/42,314.29 = 17,239.40/x
  3. Step 3: Cross multiply
    30,671.22x = 42,314.29 × 17,239.40
  4. Step 4: Simplify right side
    30,671.22x = 729,472,971.03
  5. Step 5: Solve for x
    x = 729,472,971.03/30,671.22
  6. Step 6: Final answer
    x = 23,783.63

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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.