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Finding the Fourth Proportional to 12,178.64, 18,278.36 and 4,788.28

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Solution

The fourth proportional to 12,178.64, 18,278.36 and 4,788.28 is: 7,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.64 : 18,278.36 = 4,788.28 : x
  2. Step 2: Convert to fraction form
    12,178.64/18,278.36 = 4,788.28/x
  3. Step 3: Cross multiply
    12,178.64x = 18,278.36 × 4,788.28
  4. Step 4: Simplify right side
    12,178.64x = 87,521,905.62
  5. Step 5: Solve for x
    x = 87,521,905.62/12,178.64
  6. Step 6: Final answer
    x = 7,186.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.