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Finding the Fourth Proportional to 13,648.52, 20,473.02 and 4,288.36

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Solution

The fourth proportional to 13,648.52, 20,473.02 and 4,288.36 is: 6,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.52 : 20,473.02 = 4,288.36 : x
  2. Step 2: Convert to fraction form
    13,648.52/20,473.02 = 4,288.36/x
  3. Step 3: Cross multiply
    13,648.52x = 20,473.02 × 4,288.36
  4. Step 4: Simplify right side
    13,648.52x = 87,795,628.86
  5. Step 5: Solve for x
    x = 87,795,628.86/13,648.52
  6. Step 6: Final answer
    x = 6,432.61

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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.