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Finding the Fourth Proportional to 24,758.72, 34,166.84 and 13,427.97

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Solution

The fourth proportional to 24,758.72, 34,166.84 and 13,427.97 is: 18,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758.72 : 34,166.84 = 13,427.97 : x
  2. Step 2: Convert to fraction form
    24,758.72/34,166.84 = 13,427.97/x
  3. Step 3: Cross multiply
    24,758.72x = 34,166.84 × 13,427.97
  4. Step 4: Simplify right side
    24,758.72x = 458,791,302.51
  5. Step 5: Solve for x
    x = 458,791,302.51/24,758.72
  6. Step 6: Final answer
    x = 18,530.49

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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.