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Finding the Fourth Proportional to 23,137.49, 31,923 and 15,592.34

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Solution

The fourth proportional to 23,137.49, 31,923 and 15,592.34 is: 21,512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137.49 : 31,923 = 15,592.34 : x
  2. Step 2: Convert to fraction form
    23,137.49/31,923 = 15,592.34/x
  3. Step 3: Cross multiply
    23,137.49x = 31,923 × 15,592.34
  4. Step 4: Simplify right side
    23,137.49x = 497,754,110.21
  5. Step 5: Solve for x
    x = 497,754,110.21/23,137.49
  6. Step 6: Final answer
    x = 21,512.89

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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.