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Finding the Fourth Proportional to 20,474.64, 30,658.32 and 14,215.68

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Solution

The fourth proportional to 20,474.64, 30,658.32 and 14,215.68 is: 21,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.64 : 30,658.32 = 14,215.68 : x
  2. Step 2: Convert to fraction form
    20,474.64/30,658.32 = 14,215.68/x
  3. Step 3: Cross multiply
    20,474.64x = 30,658.32 × 14,215.68
  4. Step 4: Simplify right side
    20,474.64x = 435,828,866.46
  5. Step 5: Solve for x
    x = 435,828,866.46/20,474.64
  6. Step 6: Final answer
    x = 21,286.28

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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.