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Finding the Fourth Proportional to 18,409.36, 25,397.34 and 12,823.60

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Solution

The fourth proportional to 18,409.36, 25,397.34 and 12,823.60 is: 17,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409.36 : 25,397.34 = 12,823.60 : x
  2. Step 2: Convert to fraction form
    18,409.36/25,397.34 = 12,823.60/x
  3. Step 3: Cross multiply
    18,409.36x = 25,397.34 × 12,823.60
  4. Step 4: Simplify right side
    18,409.36x = 325,685,329.22
  5. Step 5: Solve for x
    x = 325,685,329.22/18,409.36
  6. Step 6: Final answer
    x = 17,691.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.