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Finding the Fourth Proportional to 16,567.68, 22,858.16 and 9,396.35

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Solution

The fourth proportional to 16,567.68, 22,858.16 and 9,396.35 is: 12,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.68 : 22,858.16 = 9,396.35 : x
  2. Step 2: Convert to fraction form
    16,567.68/22,858.16 = 9,396.35/x
  3. Step 3: Cross multiply
    16,567.68x = 22,858.16 × 9,396.35
  4. Step 4: Simplify right side
    16,567.68x = 214,783,110.44
  5. Step 5: Solve for x
    x = 214,783,110.44/16,567.68
  6. Step 6: Final answer
    x = 12,963.98

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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.