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Finding the Fourth Proportional to 23,124.50, 34,665.92 and 8,323.02

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Solution

The fourth proportional to 23,124.50, 34,665.92 and 8,323.02 is: 12,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124.50 : 34,665.92 = 8,323.02 : x
  2. Step 2: Convert to fraction form
    23,124.50/34,665.92 = 8,323.02/x
  3. Step 3: Cross multiply
    23,124.50x = 34,665.92 × 8,323.02
  4. Step 4: Simplify right side
    23,124.50x = 288,525,145.48
  5. Step 5: Solve for x
    x = 288,525,145.48/23,124.50
  6. Step 6: Final answer
    x = 12,477.03

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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.