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Finding the Fourth Proportional to 15,641.73, 23,464.89 and 4,546.98

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Solution

The fourth proportional to 15,641.73, 23,464.89 and 4,546.98 is: 6,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.73 : 23,464.89 = 4,546.98 : x
  2. Step 2: Convert to fraction form
    15,641.73/23,464.89 = 4,546.98/x
  3. Step 3: Cross multiply
    15,641.73x = 23,464.89 × 4,546.98
  4. Step 4: Simplify right side
    15,641.73x = 106,694,385.53
  5. Step 5: Solve for x
    x = 106,694,385.53/15,641.73
  6. Step 6: Final answer
    x = 6,821.14

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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.