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Finding the Fourth Proportional to 19,702.08, 29,553.12 and 8,012.64

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Solution

The fourth proportional to 19,702.08, 29,553.12 and 8,012.64 is: 12,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.08 : 29,553.12 = 8,012.64 : x
  2. Step 2: Convert to fraction form
    19,702.08/29,553.12 = 8,012.64/x
  3. Step 3: Cross multiply
    19,702.08x = 29,553.12 × 8,012.64
  4. Step 4: Simplify right side
    19,702.08x = 236,798,511.44
  5. Step 5: Solve for x
    x = 236,798,511.44/19,702.08
  6. Step 6: Final answer
    x = 12,018.96

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1.5x scale

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.