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Finding the Fourth Proportional to 28,200.39, 38,916.54 and 16,870.36

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Solution

The fourth proportional to 28,200.39, 38,916.54 and 16,870.36 is: 23,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,200.39 : 38,916.54 = 16,870.36 : x
  2. Step 2: Convert to fraction form
    28,200.39/38,916.54 = 16,870.36/x
  3. Step 3: Cross multiply
    28,200.39x = 38,916.54 × 16,870.36
  4. Step 4: Simplify right side
    28,200.39x = 656,536,039.75
  5. Step 5: Solve for x
    x = 656,536,039.75/28,200.39
  6. Step 6: Final answer
    x = 23,281.10

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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.