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Finding the Fourth Proportional to 12,615.50, 17,409.39 and 7,026.50

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Solution

The fourth proportional to 12,615.50, 17,409.39 and 7,026.50 is: 9,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.50 : 17,409.39 = 7,026.50 : x
  2. Step 2: Convert to fraction form
    12,615.50/17,409.39 = 7,026.50/x
  3. Step 3: Cross multiply
    12,615.50x = 17,409.39 × 7,026.50
  4. Step 4: Simplify right side
    12,615.50x = 122,327,078.84
  5. Step 5: Solve for x
    x = 122,327,078.84/12,615.50
  6. Step 6: Final answer
    x = 9,696.57

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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.