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Finding the Fourth Proportional to 18,429.12, 27,580.50 and 11,406.42

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Solution

The fourth proportional to 18,429.12, 27,580.50 and 11,406.42 is: 17,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,429.12 : 27,580.50 = 11,406.42 : x
  2. Step 2: Convert to fraction form
    18,429.12/27,580.50 = 11,406.42/x
  3. Step 3: Cross multiply
    18,429.12x = 27,580.50 × 11,406.42
  4. Step 4: Simplify right side
    18,429.12x = 314,594,766.81
  5. Step 5: Solve for x
    x = 314,594,766.81/18,429.12
  6. Step 6: Final answer
    x = 17,070.53

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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.