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Finding the Fourth Proportional to 12,705.95, 19,059.91 and 3,820.59

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Solution

The fourth proportional to 12,705.95, 19,059.91 and 3,820.59 is: 5,731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.95 : 19,059.91 = 3,820.59 : x
  2. Step 2: Convert to fraction form
    12,705.95/19,059.91 = 3,820.59/x
  3. Step 3: Cross multiply
    12,705.95x = 19,059.91 × 3,820.59
  4. Step 4: Simplify right side
    12,705.95x = 72,820,101.55
  5. Step 5: Solve for x
    x = 72,820,101.55/12,705.95
  6. Step 6: Final answer
    x = 5,731.18

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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.