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Finding the Fourth Proportional to 16,567.77, 22,862.81 and 9,494.85

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Solution

The fourth proportional to 16,567.77, 22,862.81 and 9,494.85 is: 13,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.77 : 22,862.81 = 9,494.85 : x
  2. Step 2: Convert to fraction form
    16,567.77/22,862.81 = 9,494.85/x
  3. Step 3: Cross multiply
    16,567.77x = 22,862.81 × 9,494.85
  4. Step 4: Simplify right side
    16,567.77x = 217,078,904.05
  5. Step 5: Solve for x
    x = 217,078,904.05/16,567.77
  6. Step 6: Final answer
    x = 13,102.48

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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.