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Finding the Fourth Proportional to 16,657.63, 22,986.20 and 9,584.51

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Solution

The fourth proportional to 16,657.63, 22,986.20 and 9,584.51 is: 13,225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.63 : 22,986.20 = 9,584.51 : x
  2. Step 2: Convert to fraction form
    16,657.63/22,986.20 = 9,584.51/x
  3. Step 3: Cross multiply
    16,657.63x = 22,986.20 × 9,584.51
  4. Step 4: Simplify right side
    16,657.63x = 220,311,372.79
  5. Step 5: Solve for x
    x = 220,311,372.79/16,657.63
  6. Step 6: Final answer
    x = 13,225.86

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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.