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Finding the Fourth Proportional to 16,928, 25,391.52 and 7,565.60

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Solution

The fourth proportional to 16,928, 25,391.52 and 7,565.60 is: 11,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,928 : 25,391.52 = 7,565.60 : x
  2. Step 2: Convert to fraction form
    16,928/25,391.52 = 7,565.60/x
  3. Step 3: Cross multiply
    16,928x = 25,391.52 × 7,565.60
  4. Step 4: Simplify right side
    16,928x = 192,102,083.71
  5. Step 5: Solve for x
    x = 192,102,083.71/16,928
  6. Step 6: Final answer
    x = 11,348.19

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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.