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Finding the Fourth Proportional to 12,157.61, 18,184.57 and 7,466.09

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Solution

The fourth proportional to 12,157.61, 18,184.57 and 7,466.09 is: 11,167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.61 : 18,184.57 = 7,466.09 : x
  2. Step 2: Convert to fraction form
    12,157.61/18,184.57 = 7,466.09/x
  3. Step 3: Cross multiply
    12,157.61x = 18,184.57 × 7,466.09
  4. Step 4: Simplify right side
    12,157.61x = 135,767,526.64
  5. Step 5: Solve for x
    x = 135,767,526.64/12,157.61
  6. Step 6: Final answer
    x = 11,167.29

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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.