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Finding the Fourth Proportional to 24,010.98, 36,021.34 and 8,429.82

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Solution

The fourth proportional to 24,010.98, 36,021.34 and 8,429.82 is: 12,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,010.98 : 36,021.34 = 8,429.82 : x
  2. Step 2: Convert to fraction form
    24,010.98/36,021.34 = 8,429.82/x
  3. Step 3: Cross multiply
    24,010.98x = 36,021.34 × 8,429.82
  4. Step 4: Simplify right side
    24,010.98x = 303,653,412.36
  5. Step 5: Solve for x
    x = 303,653,412.36/24,010.98
  6. Step 6: Final answer
    x = 12,646.44

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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.