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Finding the Fourth Proportional to 15,907.92, 23,854.56 and 4,815.80

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Solution

The fourth proportional to 15,907.92, 23,854.56 and 4,815.80 is: 7,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.92 : 23,854.56 = 4,815.80 : x
  2. Step 2: Convert to fraction form
    15,907.92/23,854.56 = 4,815.80/x
  3. Step 3: Cross multiply
    15,907.92x = 23,854.56 × 4,815.80
  4. Step 4: Simplify right side
    15,907.92x = 114,878,790.05
  5. Step 5: Solve for x
    x = 114,878,790.05/15,907.92
  6. Step 6: Final answer
    x = 7,221.48

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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.