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Finding the Fourth Proportional to 24,827.54, 34,262.67 and 13,497.80

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Solution

The fourth proportional to 24,827.54, 34,262.67 and 13,497.80 is: 18,627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.54 : 34,262.67 = 13,497.80 : x
  2. Step 2: Convert to fraction form
    24,827.54/34,262.67 = 13,497.80/x
  3. Step 3: Cross multiply
    24,827.54x = 34,262.67 × 13,497.80
  4. Step 4: Simplify right side
    24,827.54x = 462,470,749.38
  5. Step 5: Solve for x
    x = 462,470,749.38/24,827.54
  6. Step 6: Final answer
    x = 18,627.33

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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.