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Finding the Fourth Proportional to 16,450.28, 24,675.82 and 6,454.60

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Solution

The fourth proportional to 16,450.28, 24,675.82 and 6,454.60 is: 9,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,450.28 : 24,675.82 = 6,454.60 : x
  2. Step 2: Convert to fraction form
    16,450.28/24,675.82 = 6,454.60/x
  3. Step 3: Cross multiply
    16,450.28x = 24,675.82 × 6,454.60
  4. Step 4: Simplify right side
    16,450.28x = 159,272,547.77
  5. Step 5: Solve for x
    x = 159,272,547.77/16,450.28
  6. Step 6: Final answer
    x = 9,682.06

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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.