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Finding the Fourth Proportional to 12,054.10, 16,635.86 and 6,949.75

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Solution

The fourth proportional to 12,054.10, 16,635.86 and 6,949.75 is: 9,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054.10 : 16,635.86 = 6,949.75 : x
  2. Step 2: Convert to fraction form
    12,054.10/16,635.86 = 6,949.75/x
  3. Step 3: Cross multiply
    12,054.10x = 16,635.86 × 6,949.75
  4. Step 4: Simplify right side
    12,054.10x = 115,615,002.23
  5. Step 5: Solve for x
    x = 115,615,002.23/12,054.10
  6. Step 6: Final answer
    x = 9,591.35

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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.