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Finding the Fourth Proportional to 24,842.50, 34,290.07 and 14,239.19

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Solution

The fourth proportional to 24,842.50, 34,290.07 and 14,239.19 is: 19,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.50 : 34,290.07 = 14,239.19 : x
  2. Step 2: Convert to fraction form
    24,842.50/34,290.07 = 14,239.19/x
  3. Step 3: Cross multiply
    24,842.50x = 34,290.07 × 14,239.19
  4. Step 4: Simplify right side
    24,842.50x = 488,262,871.97
  5. Step 5: Solve for x
    x = 488,262,871.97/24,842.50
  6. Step 6: Final answer
    x = 19,654.34

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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.