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Finding the Fourth Proportional to 16,364.87, 22,582.43 and 9,650.18

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Solution

The fourth proportional to 16,364.87, 22,582.43 and 9,650.18 is: 13,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.87 : 22,582.43 = 9,650.18 : x
  2. Step 2: Convert to fraction form
    16,364.87/22,582.43 = 9,650.18/x
  3. Step 3: Cross multiply
    16,364.87x = 22,582.43 × 9,650.18
  4. Step 4: Simplify right side
    16,364.87x = 217,924,425.55
  5. Step 5: Solve for x
    x = 217,924,425.55/16,364.87
  6. Step 6: Final answer
    x = 13,316.60

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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.