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Finding the Fourth Proportional to 13,069.68, 19,605.96 and 4,182.90

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Solution

The fourth proportional to 13,069.68, 19,605.96 and 4,182.90 is: 6,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,069.68 : 19,605.96 = 4,182.90 : x
  2. Step 2: Convert to fraction form
    13,069.68/19,605.96 = 4,182.90/x
  3. Step 3: Cross multiply
    13,069.68x = 19,605.96 × 4,182.90
  4. Step 4: Simplify right side
    13,069.68x = 82,009,770.08
  5. Step 5: Solve for x
    x = 82,009,770.08/13,069.68
  6. Step 6: Final answer
    x = 6,274.81

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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.