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Finding the Fourth Proportional to 24,435.92, 36,628.84 and 9,638.84

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Solution

The fourth proportional to 24,435.92, 36,628.84 and 9,638.84 is: 14,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,435.92 : 36,628.84 = 9,638.84 : x
  2. Step 2: Convert to fraction form
    24,435.92/36,628.84 = 9,638.84/x
  3. Step 3: Cross multiply
    24,435.92x = 36,628.84 × 9,638.84
  4. Step 4: Simplify right side
    24,435.92x = 353,059,528.15
  5. Step 5: Solve for x
    x = 353,059,528.15/24,435.92
  6. Step 6: Final answer
    x = 14,448.38

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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.