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Finding the Fourth Proportional to 14,828.67, 20,465.46 and 8,541.05

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Solution

The fourth proportional to 14,828.67, 20,465.46 and 8,541.05 is: 11,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828.67 : 20,465.46 = 8,541.05 : x
  2. Step 2: Convert to fraction form
    14,828.67/20,465.46 = 8,541.05/x
  3. Step 3: Cross multiply
    14,828.67x = 20,465.46 × 8,541.05
  4. Step 4: Simplify right side
    14,828.67x = 174,796,414.81
  5. Step 5: Solve for x
    x = 174,796,414.81/14,828.67
  6. Step 6: Final answer
    x = 11,787.73

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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.