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Finding the Fourth Proportional to 13,178.08, 18,186.02 and 7,209.75

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Solution

The fourth proportional to 13,178.08, 18,186.02 and 7,209.75 is: 9,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.08 : 18,186.02 = 7,209.75 : x
  2. Step 2: Convert to fraction form
    13,178.08/18,186.02 = 7,209.75/x
  3. Step 3: Cross multiply
    13,178.08x = 18,186.02 × 7,209.75
  4. Step 4: Simplify right side
    13,178.08x = 131,116,681.28
  5. Step 5: Solve for x
    x = 131,116,681.28/13,178.08
  6. Step 6: Final answer
    x = 9,949.60

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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.