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Finding the Fourth Proportional to 12,588.51, 18,883.83 and 3,823.50

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Solution

The fourth proportional to 12,588.51, 18,883.83 and 3,823.50 is: 5,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.51 : 18,883.83 = 3,823.50 : x
  2. Step 2: Convert to fraction form
    12,588.51/18,883.83 = 3,823.50/x
  3. Step 3: Cross multiply
    12,588.51x = 18,883.83 × 3,823.50
  4. Step 4: Simplify right side
    12,588.51x = 72,202,409.16
  5. Step 5: Solve for x
    x = 72,202,409.16/12,588.51
  6. Step 6: Final answer
    x = 5,735.58

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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.