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Finding the Fourth Proportional to 23,967.50, 33,077.62 and 14,410.50

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Solution

The fourth proportional to 23,967.50, 33,077.62 and 14,410.50 is: 19,887.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,967.50 : 33,077.62 = 14,410.50 : x
  2. Step 2: Convert to fraction form
    23,967.50/33,077.62 = 14,410.50/x
  3. Step 3: Cross multiply
    23,967.50x = 33,077.62 × 14,410.50
  4. Step 4: Simplify right side
    23,967.50x = 476,665,043.01
  5. Step 5: Solve for x
    x = 476,665,043.01/23,967.50
  6. Step 6: Final answer
    x = 19,887.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.