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Finding the Fourth Proportional to 13,597.48, 20,398.38 and 8,409.16

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Solution

The fourth proportional to 13,597.48, 20,398.38 and 8,409.16 is: 12,615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.48 : 20,398.38 = 8,409.16 : x
  2. Step 2: Convert to fraction form
    13,597.48/20,398.38 = 8,409.16/x
  3. Step 3: Cross multiply
    13,597.48x = 20,398.38 × 8,409.16
  4. Step 4: Simplify right side
    13,597.48x = 171,533,241.16
  5. Step 5: Solve for x
    x = 171,533,241.16/13,597.48
  6. Step 6: Final answer
    x = 12,615.08

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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.