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Finding the Fourth Proportional to 22,880.28, 31,575.02 and 13,449

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Solution

The fourth proportional to 22,880.28, 31,575.02 and 13,449 is: 18,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,880.28 : 31,575.02 = 13,449 : x
  2. Step 2: Convert to fraction form
    22,880.28/31,575.02 = 13,449/x
  3. Step 3: Cross multiply
    22,880.28x = 31,575.02 × 13,449
  4. Step 4: Simplify right side
    22,880.28x = 424,652,443.98
  5. Step 5: Solve for x
    x = 424,652,443.98/22,880.28
  6. Step 6: Final answer
    x = 18,559.76

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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.