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Finding the Fourth Proportional to 16,541.54, 24,797.72 and 6,146

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Solution

The fourth proportional to 16,541.54, 24,797.72 and 6,146 is: 9,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541.54 : 24,797.72 = 6,146 : x
  2. Step 2: Convert to fraction form
    16,541.54/24,797.72 = 6,146/x
  3. Step 3: Cross multiply
    16,541.54x = 24,797.72 × 6,146
  4. Step 4: Simplify right side
    16,541.54x = 152,406,787.12
  5. Step 5: Solve for x
    x = 152,406,787.12/16,541.54
  6. Step 6: Final answer
    x = 9,213.58

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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.