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Finding the Fourth Proportional to 19,702.45, 29,528.02 and 8,002

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Solution

The fourth proportional to 19,702.45, 29,528.02 and 8,002 is: 11,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.45 : 29,528.02 = 8,002 : x
  2. Step 2: Convert to fraction form
    19,702.45/29,528.02 = 8,002/x
  3. Step 3: Cross multiply
    19,702.45x = 29,528.02 × 8,002
  4. Step 4: Simplify right side
    19,702.45x = 236,283,216.04
  5. Step 5: Solve for x
    x = 236,283,216.04/19,702.45
  6. Step 6: Final answer
    x = 11,992.58

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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.