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Finding the Fourth Proportional to 12,720.54, 17,554.09 and 7,054.38

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Solution

The fourth proportional to 12,720.54, 17,554.09 and 7,054.38 is: 9,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720.54 : 17,554.09 = 7,054.38 : x
  2. Step 2: Convert to fraction form
    12,720.54/17,554.09 = 7,054.38/x
  3. Step 3: Cross multiply
    12,720.54x = 17,554.09 × 7,054.38
  4. Step 4: Simplify right side
    12,720.54x = 123,833,098.37
  5. Step 5: Solve for x
    x = 123,833,098.37/12,720.54
  6. Step 6: Final answer
    x = 9,734.89

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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.