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Finding the Fourth Proportional to 24,857.34, 34,302.11 and 14,239.59

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Solution

The fourth proportional to 24,857.34, 34,302.11 and 14,239.59 is: 19,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.34 : 34,302.11 = 14,239.59 : x
  2. Step 2: Convert to fraction form
    24,857.34/34,302.11 = 14,239.59/x
  3. Step 3: Cross multiply
    24,857.34x = 34,302.11 × 14,239.59
  4. Step 4: Simplify right side
    24,857.34x = 488,447,982.53
  5. Step 5: Solve for x
    x = 488,447,982.53/24,857.34
  6. Step 6: Final answer
    x = 19,650.05

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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.