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Finding the Fourth Proportional to 22,859.34, 31,537.17 and 13,903.44

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Solution

The fourth proportional to 22,859.34, 31,537.17 and 13,903.44 is: 19,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,859.34 : 31,537.17 = 13,903.44 : x
  2. Step 2: Convert to fraction form
    22,859.34/31,537.17 = 13,903.44/x
  3. Step 3: Cross multiply
    22,859.34x = 31,537.17 × 13,903.44
  4. Step 4: Simplify right side
    22,859.34x = 438,475,150.86
  5. Step 5: Solve for x
    x = 438,475,150.86/22,859.34
  6. Step 6: Final answer
    x = 19,181.44

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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.