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Finding the Fourth Proportional to 20,477.39, 30,696.63 and 8,005.41

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Solution

The fourth proportional to 20,477.39, 30,696.63 and 8,005.41 is: 12,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.39 : 30,696.63 = 8,005.41 : x
  2. Step 2: Convert to fraction form
    20,477.39/30,696.63 = 8,005.41/x
  3. Step 3: Cross multiply
    20,477.39x = 30,696.63 × 8,005.41
  4. Step 4: Simplify right side
    20,477.39x = 245,739,068.74
  5. Step 5: Solve for x
    x = 245,739,068.74/20,477.39
  6. Step 6: Final answer
    x = 12,000.51

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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.