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Finding the Fourth Proportional to 26,416.32, 39,624.63 and 6,694.93

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Solution

The fourth proportional to 26,416.32, 39,624.63 and 6,694.93 is: 10,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,416.32 : 39,624.63 = 6,694.93 : x
  2. Step 2: Convert to fraction form
    26,416.32/39,624.63 = 6,694.93/x
  3. Step 3: Cross multiply
    26,416.32x = 39,624.63 × 6,694.93
  4. Step 4: Simplify right side
    26,416.32x = 265,284,124.13
  5. Step 5: Solve for x
    x = 265,284,124.13/26,416.32
  6. Step 6: Final answer
    x = 10,042.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.