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Finding the Fourth Proportional to 14,356.53, 21,534.76 and 3,968.25

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Solution

The fourth proportional to 14,356.53, 21,534.76 and 3,968.25 is: 5,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.53 : 21,534.76 = 3,968.25 : x
  2. Step 2: Convert to fraction form
    14,356.53/21,534.76 = 3,968.25/x
  3. Step 3: Cross multiply
    14,356.53x = 21,534.76 × 3,968.25
  4. Step 4: Simplify right side
    14,356.53x = 85,455,311.37
  5. Step 5: Solve for x
    x = 85,455,311.37/14,356.53
  6. Step 6: Final answer
    x = 5,952.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.