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Finding the Fourth Proportional to 23,813.16, 32,865.66 and 13,205.40

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Solution

The fourth proportional to 23,813.16, 32,865.66 and 13,205.40 is: 18,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.16 : 32,865.66 = 13,205.40 : x
  2. Step 2: Convert to fraction form
    23,813.16/32,865.66 = 13,205.40/x
  3. Step 3: Cross multiply
    23,813.16x = 32,865.66 × 13,205.40
  4. Step 4: Simplify right side
    23,813.16x = 434,004,186.56
  5. Step 5: Solve for x
    x = 434,004,186.56/23,813.16
  6. Step 6: Final answer
    x = 18,225.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.