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Finding the Fourth Proportional to 14,003.36, 21,000.16 and 4,140

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Solution

The fourth proportional to 14,003.36, 21,000.16 and 4,140 is: 6,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.36 : 21,000.16 = 4,140 : x
  2. Step 2: Convert to fraction form
    14,003.36/21,000.16 = 4,140/x
  3. Step 3: Cross multiply
    14,003.36x = 21,000.16 × 4,140
  4. Step 4: Simplify right side
    14,003.36x = 86,940,662.40
  5. Step 5: Solve for x
    x = 86,940,662.40/14,003.36
  6. Step 6: Final answer
    x = 6,208.56

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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.