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Finding the Fourth Proportional to 20,558.42, 30,837.64 and 7,738.00

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Solution

The fourth proportional to 20,558.42, 30,837.64 and 7,738.00 is: 11,607.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,558.42 : 30,837.64 = 7,738.00 : x
  2. Step 2: Convert to fraction form
    20,558.42/30,837.64 = 7,738.00/x
  3. Step 3: Cross multiply
    20,558.42x = 30,837.64 × 7,738.00
  4. Step 4: Simplify right side
    20,558.42x = 238,621,554.63
  5. Step 5: Solve for x
    x = 238,621,554.63/20,558.42
  6. Step 6: Final answer
    x = 11,607.00

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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.