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Finding the Fourth Proportional to 16,951.83, 25,427.46 and 5,265.06

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Solution

The fourth proportional to 16,951.83, 25,427.46 and 5,265.06 is: 7,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,951.83 : 25,427.46 = 5,265.06 : x
  2. Step 2: Convert to fraction form
    16,951.83/25,427.46 = 5,265.06/x
  3. Step 3: Cross multiply
    16,951.83x = 25,427.46 × 5,265.06
  4. Step 4: Simplify right side
    16,951.83x = 133,877,102.55
  5. Step 5: Solve for x
    x = 133,877,102.55/16,951.83
  6. Step 6: Final answer
    x = 7,897.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.