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Finding the Fourth Proportional to 24,361.96, 36,544.36 and 6,833.16

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Solution

The fourth proportional to 24,361.96, 36,544.36 and 6,833.16 is: 10,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,361.96 : 36,544.36 = 6,833.16 : x
  2. Step 2: Convert to fraction form
    24,361.96/36,544.36 = 6,833.16/x
  3. Step 3: Cross multiply
    24,361.96x = 36,544.36 × 6,833.16
  4. Step 4: Simplify right side
    24,361.96x = 249,713,458.98
  5. Step 5: Solve for x
    x = 249,713,458.98/24,361.96
  6. Step 6: Final answer
    x = 10,250.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.