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Finding the Fourth Proportional to 27,019.50, 40,574.07 and 16,696.86

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Solution

The fourth proportional to 27,019.50, 40,574.07 and 16,696.86 is: 25,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,019.50 : 40,574.07 = 16,696.86 : x
  2. Step 2: Convert to fraction form
    27,019.50/40,574.07 = 16,696.86/x
  3. Step 3: Cross multiply
    27,019.50x = 40,574.07 × 16,696.86
  4. Step 4: Simplify right side
    27,019.50x = 677,459,566.42
  5. Step 5: Solve for x
    x = 677,459,566.42/27,019.50
  6. Step 6: Final answer
    x = 25,072.99

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Why These Related Problems?

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