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Finding the Fourth Proportional to 20,738.37, 31,102.05 and 7,590.84

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Solution

The fourth proportional to 20,738.37, 31,102.05 and 7,590.84 is: 11,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,738.37 : 31,102.05 = 7,590.84 : x
  2. Step 2: Convert to fraction form
    20,738.37/31,102.05 = 7,590.84/x
  3. Step 3: Cross multiply
    20,738.37x = 31,102.05 × 7,590.84
  4. Step 4: Simplify right side
    20,738.37x = 236,090,685.22
  5. Step 5: Solve for x
    x = 236,090,685.22/20,738.37
  6. Step 6: Final answer
    x = 11,384.25

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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.