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Finding the Fourth Proportional to 20,438.64, 30,648.24 and 14,193.60

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Solution

The fourth proportional to 20,438.64, 30,648.24 and 14,193.60 is: 21,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.64 : 30,648.24 = 14,193.60 : x
  2. Step 2: Convert to fraction form
    20,438.64/30,648.24 = 14,193.60/x
  3. Step 3: Cross multiply
    20,438.64x = 30,648.24 × 14,193.60
  4. Step 4: Simplify right side
    20,438.64x = 435,008,859.26
  5. Step 5: Solve for x
    x = 435,008,859.26/20,438.64
  6. Step 6: Final answer
    x = 21,283.65

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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.