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Finding the Fourth Proportional to 16,505.71, 24,758.31 and 6,644.75

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Solution

The fourth proportional to 16,505.71, 24,758.31 and 6,644.75 is: 9,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.71 : 24,758.31 = 6,644.75 : x
  2. Step 2: Convert to fraction form
    16,505.71/24,758.31 = 6,644.75/x
  3. Step 3: Cross multiply
    16,505.71x = 24,758.31 × 6,644.75
  4. Step 4: Simplify right side
    16,505.71x = 164,512,780.37
  5. Step 5: Solve for x
    x = 164,512,780.37/16,505.71
  6. Step 6: Final answer
    x = 9,967.02

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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.