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Finding the Fourth Proportional to 24,644.48, 34,009.38 and 13,466.48

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Solution

The fourth proportional to 24,644.48, 34,009.38 and 13,466.48 is: 18,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.48 : 34,009.38 = 13,466.48 : x
  2. Step 2: Convert to fraction form
    24,644.48/34,009.38 = 13,466.48/x
  3. Step 3: Cross multiply
    24,644.48x = 34,009.38 × 13,466.48
  4. Step 4: Simplify right side
    24,644.48x = 457,986,635.58
  5. Step 5: Solve for x
    x = 457,986,635.58/24,644.48
  6. Step 6: Final answer
    x = 18,583.74

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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.