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Finding the Fourth Proportional to 19,446, 29,173.32 and 7,134

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Solution

The fourth proportional to 19,446, 29,173.32 and 7,134 is: 10,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,446 : 29,173.32 = 7,134 : x
  2. Step 2: Convert to fraction form
    19,446/29,173.32 = 7,134/x
  3. Step 3: Cross multiply
    19,446x = 29,173.32 × 7,134
  4. Step 4: Simplify right side
    19,446x = 208,122,464.88
  5. Step 5: Solve for x
    x = 208,122,464.88/19,446
  6. Step 6: Final answer
    x = 10,702.58

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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.