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Finding the Fourth Proportional to 24,676.38, 34,050.78 and 14,605.25

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Solution

The fourth proportional to 24,676.38, 34,050.78 and 14,605.25 is: 20,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,676.38 : 34,050.78 = 14,605.25 : x
  2. Step 2: Convert to fraction form
    24,676.38/34,050.78 = 14,605.25/x
  3. Step 3: Cross multiply
    24,676.38x = 34,050.78 × 14,605.25
  4. Step 4: Simplify right side
    24,676.38x = 497,319,984.34
  5. Step 5: Solve for x
    x = 497,319,984.34/24,676.38
  6. Step 6: Final answer
    x = 20,153.68

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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.