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Finding the Fourth Proportional to 15,513.50, 23,220.30 and 8,107.40

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Solution

The fourth proportional to 15,513.50, 23,220.30 and 8,107.40 is: 12,135.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513.50 : 23,220.30 = 8,107.40 : x
  2. Step 2: Convert to fraction form
    15,513.50/23,220.30 = 8,107.40/x
  3. Step 3: Cross multiply
    15,513.50x = 23,220.30 × 8,107.40
  4. Step 4: Simplify right side
    15,513.50x = 188,256,260.22
  5. Step 5: Solve for x
    x = 188,256,260.22/15,513.50
  6. Step 6: Final answer
    x = 12,135.00

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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.