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Finding the Fourth Proportional to 19,644.86, 29,456.82 and 10,262.18

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Solution

The fourth proportional to 19,644.86, 29,456.82 and 10,262.18 is: 15,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.86 : 29,456.82 = 10,262.18 : x
  2. Step 2: Convert to fraction form
    19,644.86/29,456.82 = 10,262.18/x
  3. Step 3: Cross multiply
    19,644.86x = 29,456.82 × 10,262.18
  4. Step 4: Simplify right side
    19,644.86x = 302,291,041.78
  5. Step 5: Solve for x
    x = 302,291,041.78/19,644.86
  6. Step 6: Final answer
    x = 15,387.80

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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.