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Finding the Fourth Proportional to 15,716.85, 23,575.82 and 5,187.12

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Solution

The fourth proportional to 15,716.85, 23,575.82 and 5,187.12 is: 7,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.85 : 23,575.82 = 5,187.12 : x
  2. Step 2: Convert to fraction form
    15,716.85/23,575.82 = 5,187.12/x
  3. Step 3: Cross multiply
    15,716.85x = 23,575.82 × 5,187.12
  4. Step 4: Simplify right side
    15,716.85x = 122,290,581.50
  5. Step 5: Solve for x
    x = 122,290,581.50/15,716.85
  6. Step 6: Final answer
    x = 7,780.86

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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.