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Finding the Fourth Proportional to 13,294.56, 19,944 and 4,977.48

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Solution

The fourth proportional to 13,294.56, 19,944 and 4,977.48 is: 7,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.56 : 19,944 = 4,977.48 : x
  2. Step 2: Convert to fraction form
    13,294.56/19,944 = 4,977.48/x
  3. Step 3: Cross multiply
    13,294.56x = 19,944 × 4,977.48
  4. Step 4: Simplify right side
    13,294.56x = 99,270,861.12
  5. Step 5: Solve for x
    x = 99,270,861.12/13,294.56
  6. Step 6: Final answer
    x = 7,467.03

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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.