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Finding the Fourth Proportional to 16,553.52, 24,826.95 and 8,116.43

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Solution

The fourth proportional to 16,553.52, 24,826.95 and 8,116.43 is: 12,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553.52 : 24,826.95 = 8,116.43 : x
  2. Step 2: Convert to fraction form
    16,553.52/24,826.95 = 8,116.43/x
  3. Step 3: Cross multiply
    16,553.52x = 24,826.95 × 8,116.43
  4. Step 4: Simplify right side
    16,553.52x = 201,506,077.65
  5. Step 5: Solve for x
    x = 201,506,077.65/16,553.52
  6. Step 6: Final answer
    x = 12,173.00

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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.