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Finding the Fourth Proportional to 15,795.48, 23,690.16 and 9,234.48

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Solution

The fourth proportional to 15,795.48, 23,690.16 and 9,234.48 is: 13,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,795.48 : 23,690.16 = 9,234.48 : x
  2. Step 2: Convert to fraction form
    15,795.48/23,690.16 = 9,234.48/x
  3. Step 3: Cross multiply
    15,795.48x = 23,690.16 × 9,234.48
  4. Step 4: Simplify right side
    15,795.48x = 218,766,308.72
  5. Step 5: Solve for x
    x = 218,766,308.72/15,795.48
  6. Step 6: Final answer
    x = 13,849.93

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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.