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Finding the Fourth Proportional to 23,205.38, 32,019.71 and 13,130.60

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Solution

The fourth proportional to 23,205.38, 32,019.71 and 13,130.60 is: 18,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.38 : 32,019.71 = 13,130.60 : x
  2. Step 2: Convert to fraction form
    23,205.38/32,019.71 = 13,130.60/x
  3. Step 3: Cross multiply
    23,205.38x = 32,019.71 × 13,130.60
  4. Step 4: Simplify right side
    23,205.38x = 420,437,778.37
  5. Step 5: Solve for x
    x = 420,437,778.37/23,205.38
  6. Step 6: Final answer
    x = 18,118.12

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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.