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Finding the Fourth Proportional to 12,277.40, 16,922.58 and 8,687.72

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Solution

The fourth proportional to 12,277.40, 16,922.58 and 8,687.72 is: 11,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.40 : 16,922.58 = 8,687.72 : x
  2. Step 2: Convert to fraction form
    12,277.40/16,922.58 = 8,687.72/x
  3. Step 3: Cross multiply
    12,277.40x = 16,922.58 × 8,687.72
  4. Step 4: Simplify right side
    12,277.40x = 147,018,636.72
  5. Step 5: Solve for x
    x = 147,018,636.72/12,277.40
  6. Step 6: Final answer
    x = 11,974.74

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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.