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Finding the Fourth Proportional to 14,583.60, 21,817.80 and 13,201.20

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Solution

The fourth proportional to 14,583.60, 21,817.80 and 13,201.20 is: 19,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.60 : 21,817.80 = 13,201.20 : x
  2. Step 2: Convert to fraction form
    14,583.60/21,817.80 = 13,201.20/x
  3. Step 3: Cross multiply
    14,583.60x = 21,817.80 × 13,201.20
  4. Step 4: Simplify right side
    14,583.60x = 288,021,141.36
  5. Step 5: Solve for x
    x = 288,021,141.36/14,583.60
  6. Step 6: Final answer
    x = 19,749.66

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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.