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Finding the Fourth Proportional to 23,966, 33,073.08 and 14,030

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Solution

The fourth proportional to 23,966, 33,073.08 and 14,030 is: 19,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,966 : 33,073.08 = 14,030 : x
  2. Step 2: Convert to fraction form
    23,966/33,073.08 = 14,030/x
  3. Step 3: Cross multiply
    23,966x = 33,073.08 × 14,030
  4. Step 4: Simplify right side
    23,966x = 464,015,312.40
  5. Step 5: Solve for x
    x = 464,015,312.40/23,966
  6. Step 6: Final answer
    x = 19,361.40

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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.