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Finding the Fourth Proportional to 14,194.16, 19,596.32 and 12,617.76

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Solution

The fourth proportional to 14,194.16, 19,596.32 and 12,617.76 is: 17,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.16 : 19,596.32 = 12,617.76 : x
  2. Step 2: Convert to fraction form
    14,194.16/19,596.32 = 12,617.76/x
  3. Step 3: Cross multiply
    14,194.16x = 19,596.32 × 12,617.76
  4. Step 4: Simplify right side
    14,194.16x = 247,261,662.64
  5. Step 5: Solve for x
    x = 247,261,662.64/14,194.16
  6. Step 6: Final answer
    x = 17,419.96

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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.