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Finding the Fourth Proportional to 12,283.79, 16,952.33 and 9,294.44

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Solution

The fourth proportional to 12,283.79, 16,952.33 and 9,294.44 is: 12,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.79 : 16,952.33 = 9,294.44 : x
  2. Step 2: Convert to fraction form
    12,283.79/16,952.33 = 9,294.44/x
  3. Step 3: Cross multiply
    12,283.79x = 16,952.33 × 9,294.44
  4. Step 4: Simplify right side
    12,283.79x = 157,562,352.52
  5. Step 5: Solve for x
    x = 157,562,352.52/12,283.79
  6. Step 6: Final answer
    x = 12,826.86

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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.