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Finding the Fourth Proportional to 16,896.81, 23,308.25 and 9,822.45

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Solution

The fourth proportional to 16,896.81, 23,308.25 and 9,822.45 is: 13,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,896.81 : 23,308.25 = 9,822.45 : x
  2. Step 2: Convert to fraction form
    16,896.81/23,308.25 = 9,822.45/x
  3. Step 3: Cross multiply
    16,896.81x = 23,308.25 × 9,822.45
  4. Step 4: Simplify right side
    16,896.81x = 228,944,071.10
  5. Step 5: Solve for x
    x = 228,944,071.10/16,896.81
  6. Step 6: Final answer
    x = 13,549.54

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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.