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Finding the Fourth Proportional to 16,583.40, 22,884.66 and 9,029.88

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Solution

The fourth proportional to 16,583.40, 22,884.66 and 9,029.88 is: 12,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.40 : 22,884.66 = 9,029.88 : x
  2. Step 2: Convert to fraction form
    16,583.40/22,884.66 = 9,029.88/x
  3. Step 3: Cross multiply
    16,583.40x = 22,884.66 × 9,029.88
  4. Step 4: Simplify right side
    16,583.40x = 206,645,733.64
  5. Step 5: Solve for x
    x = 206,645,733.64/16,583.40
  6. Step 6: Final answer
    x = 12,461.00

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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.