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Finding the Fourth Proportional to 12,308.14, 16,994.91 and 9,910.50

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Solution

The fourth proportional to 12,308.14, 16,994.91 and 9,910.50 is: 13,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.14 : 16,994.91 = 9,910.50 : x
  2. Step 2: Convert to fraction form
    12,308.14/16,994.91 = 9,910.50/x
  3. Step 3: Cross multiply
    12,308.14x = 16,994.91 × 9,910.50
  4. Step 4: Simplify right side
    12,308.14x = 168,428,055.56
  5. Step 5: Solve for x
    x = 168,428,055.56/12,308.14
  6. Step 6: Final answer
    x = 13,684.28

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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.