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Finding the Fourth Proportional to 12,167.34, 18,250.29 and 3,402.06

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Solution

The fourth proportional to 12,167.34, 18,250.29 and 3,402.06 is: 5,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.34 : 18,250.29 = 3,402.06 : x
  2. Step 2: Convert to fraction form
    12,167.34/18,250.29 = 3,402.06/x
  3. Step 3: Cross multiply
    12,167.34x = 18,250.29 × 3,402.06
  4. Step 4: Simplify right side
    12,167.34x = 62,088,581.60
  5. Step 5: Solve for x
    x = 62,088,581.60/12,167.34
  6. Step 6: Final answer
    x = 5,102.89

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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.