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Finding the Fourth Proportional to 25,771, 35,564 and 14,593

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Solution

The fourth proportional to 25,771, 35,564 and 14,593 is: 20,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,771 : 35,564 = 14,593 : x
  2. Step 2: Convert to fraction form
    25,771/35,564 = 14,593/x
  3. Step 3: Cross multiply
    25,771x = 35,564 × 14,593
  4. Step 4: Simplify right side
    25,771x = 518,985,452
  5. Step 5: Solve for x
    x = 518,985,452/25,771
  6. Step 6: Final answer
    x = 20,138.35

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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.