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Finding the Fourth Proportional to 12,435.36, 17,161.36 and 7,129.76

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Solution

The fourth proportional to 12,435.36, 17,161.36 and 7,129.76 is: 9,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.36 : 17,161.36 = 7,129.76 : x
  2. Step 2: Convert to fraction form
    12,435.36/17,161.36 = 7,129.76/x
  3. Step 3: Cross multiply
    12,435.36x = 17,161.36 × 7,129.76
  4. Step 4: Simplify right side
    12,435.36x = 122,356,378.07
  5. Step 5: Solve for x
    x = 122,356,378.07/12,435.36
  6. Step 6: Final answer
    x = 9,839.39

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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.