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Finding the Fourth Proportional to 24,903.84, 37,351.44 and 6,435.84

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Solution

The fourth proportional to 24,903.84, 37,351.44 and 6,435.84 is: 9,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,903.84 : 37,351.44 = 6,435.84 : x
  2. Step 2: Convert to fraction form
    24,903.84/37,351.44 = 6,435.84/x
  3. Step 3: Cross multiply
    24,903.84x = 37,351.44 × 6,435.84
  4. Step 4: Simplify right side
    24,903.84x = 240,387,891.61
  5. Step 5: Solve for x
    x = 240,387,891.61/24,903.84
  6. Step 6: Final answer
    x = 9,652.64

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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.