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Finding the Fourth Proportional to 28,156.84, 38,849.89 and 16,830

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Solution

The fourth proportional to 28,156.84, 38,849.89 and 16,830 is: 23,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,156.84 : 38,849.89 = 16,830 : x
  2. Step 2: Convert to fraction form
    28,156.84/38,849.89 = 16,830/x
  3. Step 3: Cross multiply
    28,156.84x = 38,849.89 × 16,830
  4. Step 4: Simplify right side
    28,156.84x = 653,843,648.70
  5. Step 5: Solve for x
    x = 653,843,648.70/28,156.84
  6. Step 6: Final answer
    x = 23,221.49

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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.