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Finding the Fourth Proportional to 25,857.47, 38,773.90 and 11,813.34

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Solution

The fourth proportional to 25,857.47, 38,773.90 and 11,813.34 is: 17,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.47 : 38,773.90 = 11,813.34 : x
  2. Step 2: Convert to fraction form
    25,857.47/38,773.90 = 11,813.34/x
  3. Step 3: Cross multiply
    25,857.47x = 38,773.90 × 11,813.34
  4. Step 4: Simplify right side
    25,857.47x = 458,049,263.83
  5. Step 5: Solve for x
    x = 458,049,263.83/25,857.47
  6. Step 6: Final answer
    x = 17,714.39

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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.