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Finding the Fourth Proportional to 12,378.16, 17,078.72 and 8,185.60

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Solution

The fourth proportional to 12,378.16, 17,078.72 and 8,185.60 is: 11,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.16 : 17,078.72 = 8,185.60 : x
  2. Step 2: Convert to fraction form
    12,378.16/17,078.72 = 8,185.60/x
  3. Step 3: Cross multiply
    12,378.16x = 17,078.72 × 8,185.60
  4. Step 4: Simplify right side
    12,378.16x = 139,799,570.43
  5. Step 5: Solve for x
    x = 139,799,570.43/12,378.16
  6. Step 6: Final answer
    x = 11,294.05

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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.