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Finding the Fourth Proportional to 24,054.72, 33,192.80 and 13,444

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Solution

The fourth proportional to 24,054.72, 33,192.80 and 13,444 is: 18,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,054.72 : 33,192.80 = 13,444 : x
  2. Step 2: Convert to fraction form
    24,054.72/33,192.80 = 13,444/x
  3. Step 3: Cross multiply
    24,054.72x = 33,192.80 × 13,444
  4. Step 4: Simplify right side
    24,054.72x = 446,244,003.20
  5. Step 5: Solve for x
    x = 446,244,003.20/24,054.72
  6. Step 6: Final answer
    x = 18,551.20

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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.