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Finding the Fourth Proportional to 23,476.34, 35,225.90 and 10,327

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Solution

The fourth proportional to 23,476.34, 35,225.90 and 10,327 is: 15,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,476.34 : 35,225.90 = 10,327 : x
  2. Step 2: Convert to fraction form
    23,476.34/35,225.90 = 10,327/x
  3. Step 3: Cross multiply
    23,476.34x = 35,225.90 × 10,327
  4. Step 4: Simplify right side
    23,476.34x = 363,777,817.67
  5. Step 5: Solve for x
    x = 363,777,817.67/23,476.34
  6. Step 6: Final answer
    x = 15,495.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.