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Finding the Fourth Proportional to 13,178.19, 18,175.08 and 9,400.15

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Solution

The fourth proportional to 13,178.19, 18,175.08 and 9,400.15 is: 12,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.19 : 18,175.08 = 9,400.15 : x
  2. Step 2: Convert to fraction form
    13,178.19/18,175.08 = 9,400.15/x
  3. Step 3: Cross multiply
    13,178.19x = 18,175.08 × 9,400.15
  4. Step 4: Simplify right side
    13,178.19x = 170,848,478.26
  5. Step 5: Solve for x
    x = 170,848,478.26/13,178.19
  6. Step 6: Final answer
    x = 12,964.49

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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.