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Finding the Fourth Proportional to 12,283.94, 18,418.14 and 5,701.64

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Solution

The fourth proportional to 12,283.94, 18,418.14 and 5,701.64 is: 8,548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.94 : 18,418.14 = 5,701.64 : x
  2. Step 2: Convert to fraction form
    12,283.94/18,418.14 = 5,701.64/x
  3. Step 3: Cross multiply
    12,283.94x = 18,418.14 × 5,701.64
  4. Step 4: Simplify right side
    12,283.94x = 105,013,603.75
  5. Step 5: Solve for x
    x = 105,013,603.75/12,283.94
  6. Step 6: Final answer
    x = 8,548.85

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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.