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Finding the Fourth Proportional to 12,554.97, 17,297.35 and 9,712.56

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Solution

The fourth proportional to 12,554.97, 17,297.35 and 9,712.56 is: 13,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,554.97 : 17,297.35 = 9,712.56 : x
  2. Step 2: Convert to fraction form
    12,554.97/17,297.35 = 9,712.56/x
  3. Step 3: Cross multiply
    12,554.97x = 17,297.35 × 9,712.56
  4. Step 4: Simplify right side
    12,554.97x = 168,001,493.00
  5. Step 5: Solve for x
    x = 168,001,493.00/12,554.97
  6. Step 6: Final answer
    x = 13,381.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.