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Finding the Fourth Proportional to 24,133.46, 36,205.32 and 7,493.10

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Solution

The fourth proportional to 24,133.46, 36,205.32 and 7,493.10 is: 11,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,133.46 : 36,205.32 = 7,493.10 : x
  2. Step 2: Convert to fraction form
    24,133.46/36,205.32 = 7,493.10/x
  3. Step 3: Cross multiply
    24,133.46x = 36,205.32 × 7,493.10
  4. Step 4: Simplify right side
    24,133.46x = 271,290,083.29
  5. Step 5: Solve for x
    x = 271,290,083.29/24,133.46
  6. Step 6: Final answer
    x = 11,241.24

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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.