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Finding the Fourth Proportional to 12,716.22, 17,554.98 and 9,877.23

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Solution

The fourth proportional to 12,716.22, 17,554.98 and 9,877.23 is: 13,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.22 : 17,554.98 = 9,877.23 : x
  2. Step 2: Convert to fraction form
    12,716.22/17,554.98 = 9,877.23/x
  3. Step 3: Cross multiply
    12,716.22x = 17,554.98 × 9,877.23
  4. Step 4: Simplify right side
    12,716.22x = 173,394,575.11
  5. Step 5: Solve for x
    x = 173,394,575.11/12,716.22
  6. Step 6: Final answer
    x = 13,635.70

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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.