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Finding the Fourth Proportional to 19,597.35, 29,375.89 and 7,746.31

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Solution

The fourth proportional to 19,597.35, 29,375.89 and 7,746.31 is: 11,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597.35 : 29,375.89 = 7,746.31 : x
  2. Step 2: Convert to fraction form
    19,597.35/29,375.89 = 7,746.31/x
  3. Step 3: Cross multiply
    19,597.35x = 29,375.89 × 7,746.31
  4. Step 4: Simplify right side
    19,597.35x = 227,554,750.47
  5. Step 5: Solve for x
    x = 227,554,750.47/19,597.35
  6. Step 6: Final answer
    x = 11,611.51

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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.