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Finding the Fourth Proportional to 23,731.61, 32,751.47 and 13,661.82

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Solution

The fourth proportional to 23,731.61, 32,751.47 and 13,661.82 is: 18,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,731.61 : 32,751.47 = 13,661.82 : x
  2. Step 2: Convert to fraction form
    23,731.61/32,751.47 = 13,661.82/x
  3. Step 3: Cross multiply
    23,731.61x = 32,751.47 × 13,661.82
  4. Step 4: Simplify right side
    23,731.61x = 447,444,722.03
  5. Step 5: Solve for x
    x = 447,444,722.03/23,731.61
  6. Step 6: Final answer
    x = 18,854.38

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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.