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Finding the Fourth Proportional to 16,365.28, 22,584.24 and 9,291.86

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Solution

The fourth proportional to 16,365.28, 22,584.24 and 9,291.86 is: 12,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,365.28 : 22,584.24 = 9,291.86 : x
  2. Step 2: Convert to fraction form
    16,365.28/22,584.24 = 9,291.86/x
  3. Step 3: Cross multiply
    16,365.28x = 22,584.24 × 9,291.86
  4. Step 4: Simplify right side
    16,365.28x = 209,849,483.37
  5. Step 5: Solve for x
    x = 209,849,483.37/16,365.28
  6. Step 6: Final answer
    x = 12,822.85

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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.