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Finding the Fourth Proportional to 16,770, 25,155.66 and 5,677.80

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Solution

The fourth proportional to 16,770, 25,155.66 and 5,677.80 is: 8,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770 : 25,155.66 = 5,677.80 : x
  2. Step 2: Convert to fraction form
    16,770/25,155.66 = 5,677.80/x
  3. Step 3: Cross multiply
    16,770x = 25,155.66 × 5,677.80
  4. Step 4: Simplify right side
    16,770x = 142,828,806.35
  5. Step 5: Solve for x
    x = 142,828,806.35/16,770
  6. Step 6: Final answer
    x = 8,516.92

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Why These Related Problems?

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