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Finding the Fourth Proportional to 12,076.14, 18,101.10 and 4,678.40

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Solution

The fourth proportional to 12,076.14, 18,101.10 and 4,678.40 is: 7,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.14 : 18,101.10 = 4,678.40 : x
  2. Step 2: Convert to fraction form
    12,076.14/18,101.10 = 4,678.40/x
  3. Step 3: Cross multiply
    12,076.14x = 18,101.10 × 4,678.40
  4. Step 4: Simplify right side
    12,076.14x = 84,684,186.24
  5. Step 5: Solve for x
    x = 84,684,186.24/12,076.14
  6. Step 6: Final answer
    x = 7,012.52

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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.