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Finding the Fourth Proportional to 12,078.30, 16,948.50 and 12,078.30

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Solution

The fourth proportional to 12,078.30, 16,948.50 and 12,078.30 is: 16,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.30 : 16,948.50 = 12,078.30 : x
  2. Step 2: Convert to fraction form
    12,078.30/16,948.50 = 12,078.30/x
  3. Step 3: Cross multiply
    12,078.30x = 16,948.50 × 12,078.30
  4. Step 4: Simplify right side
    12,078.30x = 204,709,067.55
  5. Step 5: Solve for x
    x = 204,709,067.55/12,078.30
  6. Step 6: Final answer
    x = 16,948.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.