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Finding the Fourth Proportional to 13,285.65, 19,928.53 and 4,965.57

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Solution

The fourth proportional to 13,285.65, 19,928.53 and 4,965.57 is: 7,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.65 : 19,928.53 = 4,965.57 : x
  2. Step 2: Convert to fraction form
    13,285.65/19,928.53 = 4,965.57/x
  3. Step 3: Cross multiply
    13,285.65x = 19,928.53 × 4,965.57
  4. Step 4: Simplify right side
    13,285.65x = 98,956,516.92
  5. Step 5: Solve for x
    x = 98,956,516.92/13,285.65
  6. Step 6: Final answer
    x = 7,448.37

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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.