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Finding the Fourth Proportional to 16,495.65, 24,735.78 and 4,806.54

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Solution

The fourth proportional to 16,495.65, 24,735.78 and 4,806.54 is: 7,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495.65 : 24,735.78 = 4,806.54 : x
  2. Step 2: Convert to fraction form
    16,495.65/24,735.78 = 4,806.54/x
  3. Step 3: Cross multiply
    16,495.65x = 24,735.78 × 4,806.54
  4. Step 4: Simplify right side
    16,495.65x = 118,893,516.00
  5. Step 5: Solve for x
    x = 118,893,516.00/16,495.65
  6. Step 6: Final answer
    x = 7,207.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.