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Finding the Fourth Proportional to 16,849.83, 23,252.84 and 9,296.25

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Solution

The fourth proportional to 16,849.83, 23,252.84 and 9,296.25 is: 12,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,849.83 : 23,252.84 = 9,296.25 : x
  2. Step 2: Convert to fraction form
    16,849.83/23,252.84 = 9,296.25/x
  3. Step 3: Cross multiply
    16,849.83x = 23,252.84 × 9,296.25
  4. Step 4: Simplify right side
    16,849.83x = 216,164,167.37
  5. Step 5: Solve for x
    x = 216,164,167.37/16,849.83
  6. Step 6: Final answer
    x = 12,828.86

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