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Finding the Fourth Proportional to 24,814.16, 34,245.64 and 13,638.48

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Solution

The fourth proportional to 24,814.16, 34,245.64 and 13,638.48 is: 18,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.16 : 34,245.64 = 13,638.48 : x
  2. Step 2: Convert to fraction form
    24,814.16/34,245.64 = 13,638.48/x
  3. Step 3: Cross multiply
    24,814.16x = 34,245.64 × 13,638.48
  4. Step 4: Simplify right side
    24,814.16x = 467,058,476.23
  5. Step 5: Solve for x
    x = 467,058,476.23/24,814.16
  6. Step 6: Final answer
    x = 18,822.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.