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Finding the Fourth Proportional to 19,702.86, 29,553.99 and 9,166.98

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Solution

The fourth proportional to 19,702.86, 29,553.99 and 9,166.98 is: 13,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.86 : 29,553.99 = 9,166.98 : x
  2. Step 2: Convert to fraction form
    19,702.86/29,553.99 = 9,166.98/x
  3. Step 3: Cross multiply
    19,702.86x = 29,553.99 × 9,166.98
  4. Step 4: Simplify right side
    19,702.86x = 270,920,835.25
  5. Step 5: Solve for x
    x = 270,920,835.25/19,702.86
  6. Step 6: Final answer
    x = 13,750.33

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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.