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Finding the Fourth Proportional to 30,841.26, 46,261.08 and 8,654.82

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Solution

The fourth proportional to 30,841.26, 46,261.08 and 8,654.82 is: 12,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.26 : 46,261.08 = 8,654.82 : x
  2. Step 2: Convert to fraction form
    30,841.26/46,261.08 = 8,654.82/x
  3. Step 3: Cross multiply
    30,841.26x = 46,261.08 × 8,654.82
  4. Step 4: Simplify right side
    30,841.26x = 400,381,320.41
  5. Step 5: Solve for x
    x = 400,381,320.41/30,841.26
  6. Step 6: Final answer
    x = 12,982.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.