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Finding the Fourth Proportional to 13,968.32, 20,952.22 and 5,648.23

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Solution

The fourth proportional to 13,968.32, 20,952.22 and 5,648.23 is: 8,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968.32 : 20,952.22 = 5,648.23 : x
  2. Step 2: Convert to fraction form
    13,968.32/20,952.22 = 5,648.23/x
  3. Step 3: Cross multiply
    13,968.32x = 20,952.22 × 5,648.23
  4. Step 4: Simplify right side
    13,968.32x = 118,342,980.23
  5. Step 5: Solve for x
    x = 118,342,980.23/13,968.32
  6. Step 6: Final answer
    x = 8,472.24

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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.