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Finding the Fourth Proportional to 16,699.50, 23,046.04 and 9,247.50

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Solution

The fourth proportional to 16,699.50, 23,046.04 and 9,247.50 is: 12,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,699.50 : 23,046.04 = 9,247.50 : x
  2. Step 2: Convert to fraction form
    16,699.50/23,046.04 = 9,247.50/x
  3. Step 3: Cross multiply
    16,699.50x = 23,046.04 × 9,247.50
  4. Step 4: Simplify right side
    16,699.50x = 213,118,254.90
  5. Step 5: Solve for x
    x = 213,118,254.90/16,699.50
  6. Step 6: Final answer
    x = 12,761.95

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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.