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Finding the Fourth Proportional to 28,467.83, 42,700.46 and 9,749.54

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Solution

The fourth proportional to 28,467.83, 42,700.46 and 9,749.54 is: 14,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,467.83 : 42,700.46 = 9,749.54 : x
  2. Step 2: Convert to fraction form
    28,467.83/42,700.46 = 9,749.54/x
  3. Step 3: Cross multiply
    28,467.83x = 42,700.46 × 9,749.54
  4. Step 4: Simplify right side
    28,467.83x = 416,309,580.54
  5. Step 5: Solve for x
    x = 416,309,580.54/28,467.83
  6. Step 6: Final answer
    x = 14,623.86

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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.