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Finding the Fourth Proportional to 23,966.64, 33,074.01 and 13,356.06

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Solution

The fourth proportional to 23,966.64, 33,074.01 and 13,356.06 is: 18,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,966.64 : 33,074.01 = 13,356.06 : x
  2. Step 2: Convert to fraction form
    23,966.64/33,074.01 = 13,356.06/x
  3. Step 3: Cross multiply
    23,966.64x = 33,074.01 × 13,356.06
  4. Step 4: Simplify right side
    23,966.64x = 441,738,462.00
  5. Step 5: Solve for x
    x = 441,738,462.00/23,966.64
  6. Step 6: Final answer
    x = 18,431.39

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Why These Related Problems?

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