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Finding the Fourth Proportional to 14,610.42, 21,935.07 and 7,689.78

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Solution

The fourth proportional to 14,610.42, 21,935.07 and 7,689.78 is: 11,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610.42 : 21,935.07 = 7,689.78 : x
  2. Step 2: Convert to fraction form
    14,610.42/21,935.07 = 7,689.78/x
  3. Step 3: Cross multiply
    14,610.42x = 21,935.07 × 7,689.78
  4. Step 4: Simplify right side
    14,610.42x = 168,675,862.58
  5. Step 5: Solve for x
    x = 168,675,862.58/14,610.42
  6. Step 6: Final answer
    x = 11,544.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.