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Finding the Fourth Proportional to 23,813.33, 35,719.65 and 8,021.84

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Solution

The fourth proportional to 23,813.33, 35,719.65 and 8,021.84 is: 12,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.33 : 35,719.65 = 8,021.84 : x
  2. Step 2: Convert to fraction form
    23,813.33/35,719.65 = 8,021.84/x
  3. Step 3: Cross multiply
    23,813.33x = 35,719.65 × 8,021.84
  4. Step 4: Simplify right side
    23,813.33x = 286,537,138.56
  5. Step 5: Solve for x
    x = 286,537,138.56/23,813.33
  6. Step 6: Final answer
    x = 12,032.64

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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.