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Finding the Fourth Proportional to 13,698.44, 20,549.76 and 5,801

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Solution

The fourth proportional to 13,698.44, 20,549.76 and 5,801 is: 8,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.44 : 20,549.76 = 5,801 : x
  2. Step 2: Convert to fraction form
    13,698.44/20,549.76 = 5,801/x
  3. Step 3: Cross multiply
    13,698.44x = 20,549.76 × 5,801
  4. Step 4: Simplify right side
    13,698.44x = 119,209,157.76
  5. Step 5: Solve for x
    x = 119,209,157.76/13,698.44
  6. Step 6: Final answer
    x = 8,702.39

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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.