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Finding the Fourth Proportional to 13,972.94, 20,961.98 and 4,613.60

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Solution

The fourth proportional to 13,972.94, 20,961.98 and 4,613.60 is: 6,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.94 : 20,961.98 = 4,613.60 : x
  2. Step 2: Convert to fraction form
    13,972.94/20,961.98 = 4,613.60/x
  3. Step 3: Cross multiply
    13,972.94x = 20,961.98 × 4,613.60
  4. Step 4: Simplify right side
    13,972.94x = 96,710,080.35
  5. Step 5: Solve for x
    x = 96,710,080.35/13,972.94
  6. Step 6: Final answer
    x = 6,921.24

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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.