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Finding the Fourth Proportional to 14,588.80, 21,883.20 and 4,201.60

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Solution

The fourth proportional to 14,588.80, 21,883.20 and 4,201.60 is: 6,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.80 : 21,883.20 = 4,201.60 : x
  2. Step 2: Convert to fraction form
    14,588.80/21,883.20 = 4,201.60/x
  3. Step 3: Cross multiply
    14,588.80x = 21,883.20 × 4,201.60
  4. Step 4: Simplify right side
    14,588.80x = 91,944,453.12
  5. Step 5: Solve for x
    x = 91,944,453.12/14,588.80
  6. Step 6: Final answer
    x = 6,302.40

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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.