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Finding the Fourth Proportional to 29,665.96, 40,926 and 17,723.32

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Solution

The fourth proportional to 29,665.96, 40,926 and 17,723.32 is: 24,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,665.96 : 40,926 = 17,723.32 : x
  2. Step 2: Convert to fraction form
    29,665.96/40,926 = 17,723.32/x
  3. Step 3: Cross multiply
    29,665.96x = 40,926 × 17,723.32
  4. Step 4: Simplify right side
    29,665.96x = 725,344,594.32
  5. Step 5: Solve for x
    x = 725,344,594.32/29,665.96
  6. Step 6: Final answer
    x = 24,450.40

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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.