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Finding the Fourth Proportional to 12,900.42, 17,802.78 and 7,236.43

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Solution

The fourth proportional to 12,900.42, 17,802.78 and 7,236.43 is: 9,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.42 : 17,802.78 = 7,236.43 : x
  2. Step 2: Convert to fraction form
    12,900.42/17,802.78 = 7,236.43/x
  3. Step 3: Cross multiply
    12,900.42x = 17,802.78 × 7,236.43
  4. Step 4: Simplify right side
    12,900.42x = 128,828,571.28
  5. Step 5: Solve for x
    x = 128,828,571.28/12,900.42
  6. Step 6: Final answer
    x = 9,986.39

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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.