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Finding the Fourth Proportional to 30,876.19, 42,611.00 and 17,447.13

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Solution

The fourth proportional to 30,876.19, 42,611.00 and 17,447.13 is: 24,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.19 : 42,611.00 = 17,447.13 : x
  2. Step 2: Convert to fraction form
    30,876.19/42,611.00 = 17,447.13/x
  3. Step 3: Cross multiply
    30,876.19x = 42,611.00 × 17,447.13
  4. Step 4: Simplify right side
    30,876.19x = 743,439,569.19
  5. Step 5: Solve for x
    x = 743,439,569.19/30,876.19
  6. Step 6: Final answer
    x = 24,078.09

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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.