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Finding the Fourth Proportional to 15,978.54, 23,946.97 and 8,574.33

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Solution

The fourth proportional to 15,978.54, 23,946.97 and 8,574.33 is: 12,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.54 : 23,946.97 = 8,574.33 : x
  2. Step 2: Convert to fraction form
    15,978.54/23,946.97 = 8,574.33/x
  3. Step 3: Cross multiply
    15,978.54x = 23,946.97 × 8,574.33
  4. Step 4: Simplify right side
    15,978.54x = 205,329,216.26
  5. Step 5: Solve for x
    x = 205,329,216.26/15,978.54
  6. Step 6: Final answer
    x = 12,850.31

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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.