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Finding the Fourth Proportional to 12,504, 17,255.84 and 7,536.32

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Solution

The fourth proportional to 12,504, 17,255.84 and 7,536.32 is: 10,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504 : 17,255.84 = 7,536.32 : x
  2. Step 2: Convert to fraction form
    12,504/17,255.84 = 7,536.32/x
  3. Step 3: Cross multiply
    12,504x = 17,255.84 × 7,536.32
  4. Step 4: Simplify right side
    12,504x = 130,045,532.11
  5. Step 5: Solve for x
    x = 130,045,532.11/12,504
  6. Step 6: Final answer
    x = 10,400.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.