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Finding the Fourth Proportional to 13,315.12, 19,969.22 and 3,952.94

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Solution

The fourth proportional to 13,315.12, 19,969.22 and 3,952.94 is: 5,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,315.12 : 19,969.22 = 3,952.94 : x
  2. Step 2: Convert to fraction form
    13,315.12/19,969.22 = 3,952.94/x
  3. Step 3: Cross multiply
    13,315.12x = 19,969.22 × 3,952.94
  4. Step 4: Simplify right side
    13,315.12x = 78,937,023.72
  5. Step 5: Solve for x
    x = 78,937,023.72/13,315.12
  6. Step 6: Final answer
    x = 5,928.38

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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.