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Finding the Fourth Proportional to 16,502.26, 24,754.47 and 4,814.50

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Solution

The fourth proportional to 16,502.26, 24,754.47 and 4,814.50 is: 7,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.26 : 24,754.47 = 4,814.50 : x
  2. Step 2: Convert to fraction form
    16,502.26/24,754.47 = 4,814.50/x
  3. Step 3: Cross multiply
    16,502.26x = 24,754.47 × 4,814.50
  4. Step 4: Simplify right side
    16,502.26x = 119,180,395.82
  5. Step 5: Solve for x
    x = 119,180,395.82/16,502.26
  6. Step 6: Final answer
    x = 7,222.07

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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.