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Finding the Fourth Proportional to 14,992.57, 20,689.25 and 8,277.80

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Solution

The fourth proportional to 14,992.57, 20,689.25 and 8,277.80 is: 11,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.57 : 20,689.25 = 8,277.80 : x
  2. Step 2: Convert to fraction form
    14,992.57/20,689.25 = 8,277.80/x
  3. Step 3: Cross multiply
    14,992.57x = 20,689.25 × 8,277.80
  4. Step 4: Simplify right side
    14,992.57x = 171,261,352.10
  5. Step 5: Solve for x
    x = 171,261,352.10/14,992.57
  6. Step 6: Final answer
    x = 11,423.08

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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.