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Finding the Fourth Proportional to 16,702.56, 25,056 and 5,016.96

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Solution

The fourth proportional to 16,702.56, 25,056 and 5,016.96 is: 7,526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.56 : 25,056 = 5,016.96 : x
  2. Step 2: Convert to fraction form
    16,702.56/25,056 = 5,016.96/x
  3. Step 3: Cross multiply
    16,702.56x = 25,056 × 5,016.96
  4. Step 4: Simplify right side
    16,702.56x = 125,704,949.76
  5. Step 5: Solve for x
    x = 125,704,949.76/16,702.56
  6. Step 6: Final answer
    x = 7,526.09

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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.