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Finding the Fourth Proportional to 14,992, 20,689.62 and 8,277.64

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Solution

The fourth proportional to 14,992, 20,689.62 and 8,277.64 is: 11,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992 : 20,689.62 = 8,277.64 : x
  2. Step 2: Convert to fraction form
    14,992/20,689.62 = 8,277.64/x
  3. Step 3: Cross multiply
    14,992x = 20,689.62 × 8,277.64
  4. Step 4: Simplify right side
    14,992x = 171,261,226.10
  5. Step 5: Solve for x
    x = 171,261,226.10/14,992
  6. Step 6: Final answer
    x = 11,423.51

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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.