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Finding the Fourth Proportional to 29,455.28, 40,648.68 and 16,880

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Solution

The fourth proportional to 29,455.28, 40,648.68 and 16,880 is: 23,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,455.28 : 40,648.68 = 16,880 : x
  2. Step 2: Convert to fraction form
    29,455.28/40,648.68 = 16,880/x
  3. Step 3: Cross multiply
    29,455.28x = 40,648.68 × 16,880
  4. Step 4: Simplify right side
    29,455.28x = 686,149,718.40
  5. Step 5: Solve for x
    x = 686,149,718.40/29,455.28
  6. Step 6: Final answer
    x = 23,294.63

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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.