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Finding the Fourth Proportional to 28,202.30, 38,916.78 and 16,266.50

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Solution

The fourth proportional to 28,202.30, 38,916.78 and 16,266.50 is: 22,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,202.30 : 38,916.78 = 16,266.50 : x
  2. Step 2: Convert to fraction form
    28,202.30/38,916.78 = 16,266.50/x
  3. Step 3: Cross multiply
    28,202.30x = 38,916.78 × 16,266.50
  4. Step 4: Simplify right side
    28,202.30x = 633,039,801.87
  5. Step 5: Solve for x
    x = 633,039,801.87/28,202.30
  6. Step 6: Final answer
    x = 22,446.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.