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Finding the Fourth Proportional to 25,197, 34,771.88 and 14,019

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Solution

The fourth proportional to 25,197, 34,771.88 and 14,019 is: 19,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,197 : 34,771.88 = 14,019 : x
  2. Step 2: Convert to fraction form
    25,197/34,771.88 = 14,019/x
  3. Step 3: Cross multiply
    25,197x = 34,771.88 × 14,019
  4. Step 4: Simplify right side
    25,197x = 487,466,985.72
  5. Step 5: Solve for x
    x = 487,466,985.72/25,197
  6. Step 6: Final answer
    x = 19,346.23

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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.