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Finding the Fourth Proportional to 23,205.69, 32,023.25 and 13,133.85

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Solution

The fourth proportional to 23,205.69, 32,023.25 and 13,133.85 is: 18,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.69 : 32,023.25 = 13,133.85 : x
  2. Step 2: Convert to fraction form
    23,205.69/32,023.25 = 13,133.85/x
  3. Step 3: Cross multiply
    23,205.69x = 32,023.25 × 13,133.85
  4. Step 4: Simplify right side
    23,205.69x = 420,588,425.51
  5. Step 5: Solve for x
    x = 420,588,425.51/23,205.69
  6. Step 6: Final answer
    x = 18,124.37

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