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Finding the Fourth Proportional to 13,630.72, 20,448.96 and 4,396

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Solution

The fourth proportional to 13,630.72, 20,448.96 and 4,396 is: 6,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.72 : 20,448.96 = 4,396 : x
  2. Step 2: Convert to fraction form
    13,630.72/20,448.96 = 4,396/x
  3. Step 3: Cross multiply
    13,630.72x = 20,448.96 × 4,396
  4. Step 4: Simplify right side
    13,630.72x = 89,893,628.16
  5. Step 5: Solve for x
    x = 89,893,628.16/13,630.72
  6. Step 6: Final answer
    x = 6,594.93

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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.