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Finding the Fourth Proportional to 13,842.60, 20,735.10 and 11,538.60

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Solution

The fourth proportional to 13,842.60, 20,735.10 and 11,538.60 is: 17,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.60 : 20,735.10 = 11,538.60 : x
  2. Step 2: Convert to fraction form
    13,842.60/20,735.10 = 11,538.60/x
  3. Step 3: Cross multiply
    13,842.60x = 20,735.10 × 11,538.60
  4. Step 4: Simplify right side
    13,842.60x = 239,254,024.86
  5. Step 5: Solve for x
    x = 239,254,024.86/13,842.60
  6. Step 6: Final answer
    x = 17,283.89

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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.