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Finding the Fourth Proportional to 23,288.67, 32,137.39 and 13,216.90

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Solution

The fourth proportional to 23,288.67, 32,137.39 and 13,216.90 is: 18,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,288.67 : 32,137.39 = 13,216.90 : x
  2. Step 2: Convert to fraction form
    23,288.67/32,137.39 = 13,216.90/x
  3. Step 3: Cross multiply
    23,288.67x = 32,137.39 × 13,216.90
  4. Step 4: Simplify right side
    23,288.67x = 424,756,669.89
  5. Step 5: Solve for x
    x = 424,756,669.89/23,288.67
  6. Step 6: Final answer
    x = 18,238.77

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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.