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Finding the Fourth Proportional to 24,940.48, 34,416.96 and 13,762.24

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Solution

The fourth proportional to 24,940.48, 34,416.96 and 13,762.24 is: 18,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,940.48 : 34,416.96 = 13,762.24 : x
  2. Step 2: Convert to fraction form
    24,940.48/34,416.96 = 13,762.24/x
  3. Step 3: Cross multiply
    24,940.48x = 34,416.96 × 13,762.24
  4. Step 4: Simplify right side
    24,940.48x = 473,654,463.59
  5. Step 5: Solve for x
    x = 473,654,463.59/24,940.48
  6. Step 6: Final answer
    x = 18,991.39

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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.