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Finding the Fourth Proportional to 12,133.18, 18,199.80 and 3,699.76

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Solution

The fourth proportional to 12,133.18, 18,199.80 and 3,699.76 is: 5,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.18 : 18,199.80 = 3,699.76 : x
  2. Step 2: Convert to fraction form
    12,133.18/18,199.80 = 3,699.76/x
  3. Step 3: Cross multiply
    12,133.18x = 18,199.80 × 3,699.76
  4. Step 4: Simplify right side
    12,133.18x = 67,334,892.05
  5. Step 5: Solve for x
    x = 67,334,892.05/12,133.18
  6. Step 6: Final answer
    x = 5,549.65

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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.