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Finding the Fourth Proportional to 25,512.38, 35,201.62 and 14,897.20

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Solution

The fourth proportional to 25,512.38, 35,201.62 and 14,897.20 is: 20,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,512.38 : 35,201.62 = 14,897.20 : x
  2. Step 2: Convert to fraction form
    25,512.38/35,201.62 = 14,897.20/x
  3. Step 3: Cross multiply
    25,512.38x = 35,201.62 × 14,897.20
  4. Step 4: Simplify right side
    25,512.38x = 524,405,573.46
  5. Step 5: Solve for x
    x = 524,405,573.46/25,512.38
  6. Step 6: Final answer
    x = 20,554.95

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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.