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Finding the Fourth Proportional to 15,666.12, 21,623.31 and 9,694.40

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Solution

The fourth proportional to 15,666.12, 21,623.31 and 9,694.40 is: 13,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666.12 : 21,623.31 = 9,694.40 : x
  2. Step 2: Convert to fraction form
    15,666.12/21,623.31 = 9,694.40/x
  3. Step 3: Cross multiply
    15,666.12x = 21,623.31 × 9,694.40
  4. Step 4: Simplify right side
    15,666.12x = 209,624,908.35
  5. Step 5: Solve for x
    x = 209,624,908.35/15,666.12
  6. Step 6: Final answer
    x = 13,380.78

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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.