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Finding the Fourth Proportional to 12,744.95, 19,117.42 and 3,980.62

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Solution

The fourth proportional to 12,744.95, 19,117.42 and 3,980.62 is: 5,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.95 : 19,117.42 = 3,980.62 : x
  2. Step 2: Convert to fraction form
    12,744.95/19,117.42 = 3,980.62/x
  3. Step 3: Cross multiply
    12,744.95x = 19,117.42 × 3,980.62
  4. Step 4: Simplify right side
    12,744.95x = 76,099,184.40
  5. Step 5: Solve for x
    x = 76,099,184.40/12,744.95
  6. Step 6: Final answer
    x = 5,970.93

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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.