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Finding the Fourth Proportional to 13,172.76, 18,178.80 and 7,204.32

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Solution

The fourth proportional to 13,172.76, 18,178.80 and 7,204.32 is: 9,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.76 : 18,178.80 = 7,204.32 : x
  2. Step 2: Convert to fraction form
    13,172.76/18,178.80 = 7,204.32/x
  3. Step 3: Cross multiply
    13,172.76x = 18,178.80 × 7,204.32
  4. Step 4: Simplify right side
    13,172.76x = 130,965,892.42
  5. Step 5: Solve for x
    x = 130,965,892.42/13,172.76
  6. Step 6: Final answer
    x = 9,942.18

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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.