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Finding the Fourth Proportional to 13,172.66, 18,178.27 and 7,204.32

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Solution

The fourth proportional to 13,172.66, 18,178.27 and 7,204.32 is: 9,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.66 : 18,178.27 = 7,204.32 : x
  2. Step 2: Convert to fraction form
    13,172.66/18,178.27 = 7,204.32/x
  3. Step 3: Cross multiply
    13,172.66x = 18,178.27 × 7,204.32
  4. Step 4: Simplify right side
    13,172.66x = 130,962,074.13
  5. Step 5: Solve for x
    x = 130,962,074.13/13,172.66
  6. Step 6: Final answer
    x = 9,941.96

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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.