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Finding the Fourth Proportional to 12,256.68, 18,381.78 and 3,492.09

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Solution

The fourth proportional to 12,256.68, 18,381.78 and 3,492.09 is: 5,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.68 : 18,381.78 = 3,492.09 : x
  2. Step 2: Convert to fraction form
    12,256.68/18,381.78 = 3,492.09/x
  3. Step 3: Cross multiply
    12,256.68x = 18,381.78 × 3,492.09
  4. Step 4: Simplify right side
    12,256.68x = 64,190,830.12
  5. Step 5: Solve for x
    x = 64,190,830.12/12,256.68
  6. Step 6: Final answer
    x = 5,237.21

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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.