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Finding the Fourth Proportional to 13,298.56, 19,950 and 4,981.44

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Solution

The fourth proportional to 13,298.56, 19,950 and 4,981.44 is: 7,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,298.56 : 19,950 = 4,981.44 : x
  2. Step 2: Convert to fraction form
    13,298.56/19,950 = 4,981.44/x
  3. Step 3: Cross multiply
    13,298.56x = 19,950 × 4,981.44
  4. Step 4: Simplify right side
    13,298.56x = 99,379,728.00
  5. Step 5: Solve for x
    x = 99,379,728.00/13,298.56
  6. Step 6: Final answer
    x = 7,472.97

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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.