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Finding the Fourth Proportional to 16,583, 22,903.98 and 10,984.28

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Solution

The fourth proportional to 16,583, 22,903.98 and 10,984.28 is: 15,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583 : 22,903.98 = 10,984.28 : x
  2. Step 2: Convert to fraction form
    16,583/22,903.98 = 10,984.28/x
  3. Step 3: Cross multiply
    16,583x = 22,903.98 × 10,984.28
  4. Step 4: Simplify right side
    16,583x = 251,583,729.43
  5. Step 5: Solve for x
    x = 251,583,729.43/16,583
  6. Step 6: Final answer
    x = 15,171.18

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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.