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Finding the Fourth Proportional to 16,283.86, 22,472.64 and 9,113.60

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Solution

The fourth proportional to 16,283.86, 22,472.64 and 9,113.60 is: 12,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.86 : 22,472.64 = 9,113.60 : x
  2. Step 2: Convert to fraction form
    16,283.86/22,472.64 = 9,113.60/x
  3. Step 3: Cross multiply
    16,283.86x = 22,472.64 × 9,113.60
  4. Step 4: Simplify right side
    16,283.86x = 204,806,708.09
  5. Step 5: Solve for x
    x = 204,806,708.09/16,283.86
  6. Step 6: Final answer
    x = 12,577.28

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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.