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Finding the Fourth Proportional to 16,761.65, 25,134.72 and 9,743.67

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Solution

The fourth proportional to 16,761.65, 25,134.72 and 9,743.67 is: 14,611.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761.65 : 25,134.72 = 9,743.67 : x
  2. Step 2: Convert to fraction form
    16,761.65/25,134.72 = 9,743.67/x
  3. Step 3: Cross multiply
    16,761.65x = 25,134.72 × 9,743.67
  4. Step 4: Simplify right side
    16,761.65x = 244,904,417.22
  5. Step 5: Solve for x
    x = 244,904,417.22/16,761.65
  6. Step 6: Final answer
    x = 14,611.00

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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.