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Finding the Fourth Proportional to 16,310.52, 22,510.26 and 9,237.24

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Solution

The fourth proportional to 16,310.52, 22,510.26 and 9,237.24 is: 12,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310.52 : 22,510.26 = 9,237.24 : x
  2. Step 2: Convert to fraction form
    16,310.52/22,510.26 = 9,237.24/x
  3. Step 3: Cross multiply
    16,310.52x = 22,510.26 × 9,237.24
  4. Step 4: Simplify right side
    16,310.52x = 207,932,674.08
  5. Step 5: Solve for x
    x = 207,932,674.08/16,310.52
  6. Step 6: Final answer
    x = 12,748.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.