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Finding the Fourth Proportional to 12,706.01, 17,532.88 and 7,039.25

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Solution

The fourth proportional to 12,706.01, 17,532.88 and 7,039.25 is: 9,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.01 : 17,532.88 = 7,039.25 : x
  2. Step 2: Convert to fraction form
    12,706.01/17,532.88 = 7,039.25/x
  3. Step 3: Cross multiply
    12,706.01x = 17,532.88 × 7,039.25
  4. Step 4: Simplify right side
    12,706.01x = 123,418,220.28
  5. Step 5: Solve for x
    x = 123,418,220.28/12,706.01
  6. Step 6: Final answer
    x = 9,713.38

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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.