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Finding the Fourth Proportional to 12,554.36, 17,319.54 and 7,773.03

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Solution

The fourth proportional to 12,554.36, 17,319.54 and 7,773.03 is: 10,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,554.36 : 17,319.54 = 7,773.03 : x
  2. Step 2: Convert to fraction form
    12,554.36/17,319.54 = 7,773.03/x
  3. Step 3: Cross multiply
    12,554.36x = 17,319.54 × 7,773.03
  4. Step 4: Simplify right side
    12,554.36x = 134,625,333.16
  5. Step 5: Solve for x
    x = 134,625,333.16/12,554.36
  6. Step 6: Final answer
    x = 10,723.39

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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.