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Finding the Fourth Proportional to 12,106.64, 18,181.88 and 11,130.96

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Solution

The fourth proportional to 12,106.64, 18,181.88 and 11,130.96 is: 16,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.64 : 18,181.88 = 11,130.96 : x
  2. Step 2: Convert to fraction form
    12,106.64/18,181.88 = 11,130.96/x
  3. Step 3: Cross multiply
    12,106.64x = 18,181.88 × 11,130.96
  4. Step 4: Simplify right side
    12,106.64x = 202,381,779.00
  5. Step 5: Solve for x
    x = 202,381,779.00/12,106.64
  6. Step 6: Final answer
    x = 16,716.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.