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Finding the Fourth Proportional to 16,502.98, 24,760.95 and 7,262.50

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Solution

The fourth proportional to 16,502.98, 24,760.95 and 7,262.50 is: 10,896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.98 : 24,760.95 = 7,262.50 : x
  2. Step 2: Convert to fraction form
    16,502.98/24,760.95 = 7,262.50/x
  3. Step 3: Cross multiply
    16,502.98x = 24,760.95 × 7,262.50
  4. Step 4: Simplify right side
    16,502.98x = 179,826,399.38
  5. Step 5: Solve for x
    x = 179,826,399.38/16,502.98
  6. Step 6: Final answer
    x = 10,896.60

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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.