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Finding the Fourth Proportional to 19,768.98, 29,652.50 and 4,977.56

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Solution

The fourth proportional to 19,768.98, 29,652.50 and 4,977.56 is: 7,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.98 : 29,652.50 = 4,977.56 : x
  2. Step 2: Convert to fraction form
    19,768.98/29,652.50 = 4,977.56/x
  3. Step 3: Cross multiply
    19,768.98x = 29,652.50 × 4,977.56
  4. Step 4: Simplify right side
    19,768.98x = 147,597,097.90
  5. Step 5: Solve for x
    x = 147,597,097.90/19,768.98
  6. Step 6: Final answer
    x = 7,466.10

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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.