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Finding the Fourth Proportional to 29,694.97, 40,978.69 and 16,266.07

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Solution

The fourth proportional to 29,694.97, 40,978.69 and 16,266.07 is: 22,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,694.97 : 40,978.69 = 16,266.07 : x
  2. Step 2: Convert to fraction form
    29,694.97/40,978.69 = 16,266.07/x
  3. Step 3: Cross multiply
    29,694.97x = 40,978.69 × 16,266.07
  4. Step 4: Simplify right side
    29,694.97x = 666,562,240.05
  5. Step 5: Solve for x
    x = 666,562,240.05/29,694.97
  6. Step 6: Final answer
    x = 22,446.97

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1.5x scale

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.