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Finding the Fourth Proportional to 12,087.18, 16,678.71 and 7,050.78

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Solution

The fourth proportional to 12,087.18, 16,678.71 and 7,050.78 is: 9,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.18 : 16,678.71 = 7,050.78 : x
  2. Step 2: Convert to fraction form
    12,087.18/16,678.71 = 7,050.78/x
  3. Step 3: Cross multiply
    12,087.18x = 16,678.71 × 7,050.78
  4. Step 4: Simplify right side
    12,087.18x = 117,597,914.89
  5. Step 5: Solve for x
    x = 117,597,914.89/12,087.18
  6. Step 6: Final answer
    x = 9,729.14

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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.