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Finding the Fourth Proportional to 12,675.69, 17,492.37 and 7,010.46

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Solution

The fourth proportional to 12,675.69, 17,492.37 and 7,010.46 is: 9,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.69 : 17,492.37 = 7,010.46 : x
  2. Step 2: Convert to fraction form
    12,675.69/17,492.37 = 7,010.46/x
  3. Step 3: Cross multiply
    12,675.69x = 17,492.37 × 7,010.46
  4. Step 4: Simplify right side
    12,675.69x = 122,629,560.19
  5. Step 5: Solve for x
    x = 122,629,560.19/12,675.69
  6. Step 6: Final answer
    x = 9,674.39

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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.