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Finding the Fourth Proportional to 12,810.69, 17,676.45 and 9,456.39

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Solution

The fourth proportional to 12,810.69, 17,676.45 and 9,456.39 is: 13,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.69 : 17,676.45 = 9,456.39 : x
  2. Step 2: Convert to fraction form
    12,810.69/17,676.45 = 9,456.39/x
  3. Step 3: Cross multiply
    12,810.69x = 17,676.45 × 9,456.39
  4. Step 4: Simplify right side
    12,810.69x = 167,155,405.02
  5. Step 5: Solve for x
    x = 167,155,405.02/12,810.69
  6. Step 6: Final answer
    x = 13,048.12

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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.