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Finding the Fourth Proportional to 13,074.42, 19,614.06 and 4,309.95

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Solution

The fourth proportional to 13,074.42, 19,614.06 and 4,309.95 is: 6,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.42 : 19,614.06 = 4,309.95 : x
  2. Step 2: Convert to fraction form
    13,074.42/19,614.06 = 4,309.95/x
  3. Step 3: Cross multiply
    13,074.42x = 19,614.06 × 4,309.95
  4. Step 4: Simplify right side
    13,074.42x = 84,535,617.90
  5. Step 5: Solve for x
    x = 84,535,617.90/13,074.42
  6. Step 6: Final answer
    x = 6,465.73

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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.