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Finding the Fourth Proportional to 16,365.50, 22,584.63 and 8,913.50

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Solution

The fourth proportional to 16,365.50, 22,584.63 and 8,913.50 is: 12,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,365.50 : 22,584.63 = 8,913.50 : x
  2. Step 2: Convert to fraction form
    16,365.50/22,584.63 = 8,913.50/x
  3. Step 3: Cross multiply
    16,365.50x = 22,584.63 × 8,913.50
  4. Step 4: Simplify right side
    16,365.50x = 201,308,099.51
  5. Step 5: Solve for x
    x = 201,308,099.51/16,365.50
  6. Step 6: Final answer
    x = 12,300.76

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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.