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Finding the Fourth Proportional to 13,178.75, 18,194.19 and 8,715.45

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Solution

The fourth proportional to 13,178.75, 18,194.19 and 8,715.45 is: 12,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.75 : 18,194.19 = 8,715.45 : x
  2. Step 2: Convert to fraction form
    13,178.75/18,194.19 = 8,715.45/x
  3. Step 3: Cross multiply
    13,178.75x = 18,194.19 × 8,715.45
  4. Step 4: Simplify right side
    13,178.75x = 158,570,462.26
  5. Step 5: Solve for x
    x = 158,570,462.26/13,178.75
  6. Step 6: Final answer
    x = 12,032.29

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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.