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Finding the Fourth Proportional to 23,741.84, 35,640.26 and 13,888.20

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Solution

The fourth proportional to 23,741.84, 35,640.26 and 13,888.20 is: 20,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,741.84 : 35,640.26 = 13,888.20 : x
  2. Step 2: Convert to fraction form
    23,741.84/35,640.26 = 13,888.20/x
  3. Step 3: Cross multiply
    23,741.84x = 35,640.26 × 13,888.20
  4. Step 4: Simplify right side
    23,741.84x = 494,979,058.93
  5. Step 5: Solve for x
    x = 494,979,058.93/23,741.84
  6. Step 6: Final answer
    x = 20,848.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.