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Finding the Fourth Proportional to 24,842.96, 34,285.80 and 14,234

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Solution

The fourth proportional to 24,842.96, 34,285.80 and 14,234 is: 19,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.96 : 34,285.80 = 14,234 : x
  2. Step 2: Convert to fraction form
    24,842.96/34,285.80 = 14,234/x
  3. Step 3: Cross multiply
    24,842.96x = 34,285.80 × 14,234
  4. Step 4: Simplify right side
    24,842.96x = 488,024,077.20
  5. Step 5: Solve for x
    x = 488,024,077.20/24,842.96
  6. Step 6: Final answer
    x = 19,644.36

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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.