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Finding the Fourth Proportional to 25,403, 35,056.14 and 15,467

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Solution

The fourth proportional to 25,403, 35,056.14 and 15,467 is: 21,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,403 : 35,056.14 = 15,467 : x
  2. Step 2: Convert to fraction form
    25,403/35,056.14 = 15,467/x
  3. Step 3: Cross multiply
    25,403x = 35,056.14 × 15,467
  4. Step 4: Simplify right side
    25,403x = 542,213,317.38
  5. Step 5: Solve for x
    x = 542,213,317.38/25,403
  6. Step 6: Final answer
    x = 21,344.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.