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Finding the Fourth Proportional to 19,575.26, 29,362.84 and 9,721.43

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Solution

The fourth proportional to 19,575.26, 29,362.84 and 9,721.43 is: 14,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,575.26 : 29,362.84 = 9,721.43 : x
  2. Step 2: Convert to fraction form
    19,575.26/29,362.84 = 9,721.43/x
  3. Step 3: Cross multiply
    19,575.26x = 29,362.84 × 9,721.43
  4. Step 4: Simplify right side
    19,575.26x = 285,448,793.66
  5. Step 5: Solve for x
    x = 285,448,793.66/19,575.26
  6. Step 6: Final answer
    x = 14,582.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.