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Finding the Fourth Proportional to 20,696.40, 31,048.02 and 8,216.50

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Solution

The fourth proportional to 20,696.40, 31,048.02 and 8,216.50 is: 12,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696.40 : 31,048.02 = 8,216.50 : x
  2. Step 2: Convert to fraction form
    20,696.40/31,048.02 = 8,216.50/x
  3. Step 3: Cross multiply
    20,696.40x = 31,048.02 × 8,216.50
  4. Step 4: Simplify right side
    20,696.40x = 255,106,056.33
  5. Step 5: Solve for x
    x = 255,106,056.33/20,696.40
  6. Step 6: Final answer
    x = 12,326.11

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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.