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Finding the Fourth Proportional to 13,890.28, 20,835.36 and 3,502

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Solution

The fourth proportional to 13,890.28, 20,835.36 and 3,502 is: 5,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,890.28 : 20,835.36 = 3,502 : x
  2. Step 2: Convert to fraction form
    13,890.28/20,835.36 = 3,502/x
  3. Step 3: Cross multiply
    13,890.28x = 20,835.36 × 3,502
  4. Step 4: Simplify right side
    13,890.28x = 72,965,430.72
  5. Step 5: Solve for x
    x = 72,965,430.72/13,890.28
  6. Step 6: Final answer
    x = 5,252.98

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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.