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Finding the Fourth Proportional to 34,228.84, 51,330.30 and 13,441

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Solution

The fourth proportional to 34,228.84, 51,330.30 and 13,441 is: 20,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,228.84 : 51,330.30 = 13,441 : x
  2. Step 2: Convert to fraction form
    34,228.84/51,330.30 = 13,441/x
  3. Step 3: Cross multiply
    34,228.84x = 51,330.30 × 13,441
  4. Step 4: Simplify right side
    34,228.84x = 689,930,562.30
  5. Step 5: Solve for x
    x = 689,930,562.30/34,228.84
  6. Step 6: Final answer
    x = 20,156.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.