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Finding the Fourth Proportional to 12,326.25, 17,009.69 and 7,554.14

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Solution

The fourth proportional to 12,326.25, 17,009.69 and 7,554.14 is: 10,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.25 : 17,009.69 = 7,554.14 : x
  2. Step 2: Convert to fraction form
    12,326.25/17,009.69 = 7,554.14/x
  3. Step 3: Cross multiply
    12,326.25x = 17,009.69 × 7,554.14
  4. Step 4: Simplify right side
    12,326.25x = 128,493,579.62
  5. Step 5: Solve for x
    x = 128,493,579.62/12,326.25
  6. Step 6: Final answer
    x = 10,424.39

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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.