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Finding the Fourth Proportional to 24,441.62, 36,637.80 and 9,644.80

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Solution

The fourth proportional to 24,441.62, 36,637.80 and 9,644.80 is: 14,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,441.62 : 36,637.80 = 9,644.80 : x
  2. Step 2: Convert to fraction form
    24,441.62/36,637.80 = 9,644.80/x
  3. Step 3: Cross multiply
    24,441.62x = 36,637.80 × 9,644.80
  4. Step 4: Simplify right side
    24,441.62x = 353,364,253.44
  5. Step 5: Solve for x
    x = 353,364,253.44/24,441.62
  6. Step 6: Final answer
    x = 14,457.48

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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.