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Finding the Fourth Proportional to 25,060, 34,583.94 and 13,882

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Solution

The fourth proportional to 25,060, 34,583.94 and 13,882 is: 19,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,060 : 34,583.94 = 13,882 : x
  2. Step 2: Convert to fraction form
    25,060/34,583.94 = 13,882/x
  3. Step 3: Cross multiply
    25,060x = 34,583.94 × 13,882
  4. Step 4: Simplify right side
    25,060x = 480,094,255.08
  5. Step 5: Solve for x
    x = 480,094,255.08/25,060
  6. Step 6: Final answer
    x = 19,157.79

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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.