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Finding the Fourth Proportional to 24,485.70, 33,788.22 and 13,583.16

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Solution

The fourth proportional to 24,485.70, 33,788.22 and 13,583.16 is: 18,743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,485.70 : 33,788.22 = 13,583.16 : x
  2. Step 2: Convert to fraction form
    24,485.70/33,788.22 = 13,583.16/x
  3. Step 3: Cross multiply
    24,485.70x = 33,788.22 × 13,583.16
  4. Step 4: Simplify right side
    24,485.70x = 458,950,798.38
  5. Step 5: Solve for x
    x = 458,950,798.38/24,485.70
  6. Step 6: Final answer
    x = 18,743.63

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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.