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Finding the Fourth Proportional to 13,598.96, 20,387.82 and 9,161.60

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Solution

The fourth proportional to 13,598.96, 20,387.82 and 9,161.60 is: 13,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.96 : 20,387.82 = 9,161.60 : x
  2. Step 2: Convert to fraction form
    13,598.96/20,387.82 = 9,161.60/x
  3. Step 3: Cross multiply
    13,598.96x = 20,387.82 × 9,161.60
  4. Step 4: Simplify right side
    13,598.96x = 186,785,051.71
  5. Step 5: Solve for x
    x = 186,785,051.71/13,598.96
  6. Step 6: Final answer
    x = 13,735.25

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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.