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Finding the Fourth Proportional to 16,541.17, 24,808.46 and 8,104.05

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Solution

The fourth proportional to 16,541.17, 24,808.46 and 8,104.05 is: 12,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541.17 : 24,808.46 = 8,104.05 : x
  2. Step 2: Convert to fraction form
    16,541.17/24,808.46 = 8,104.05/x
  3. Step 3: Cross multiply
    16,541.17x = 24,808.46 × 8,104.05
  4. Step 4: Simplify right side
    16,541.17x = 201,049,000.26
  5. Step 5: Solve for x
    x = 201,049,000.26/16,541.17
  6. Step 6: Final answer
    x = 12,154.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.