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Finding the Fourth Proportional to 23,684.42, 32,696.28 and 14,734.82

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Solution

The fourth proportional to 23,684.42, 32,696.28 and 14,734.82 is: 20,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.42 : 32,696.28 = 14,734.82 : x
  2. Step 2: Convert to fraction form
    23,684.42/32,696.28 = 14,734.82/x
  3. Step 3: Cross multiply
    23,684.42x = 32,696.28 × 14,734.82
  4. Step 4: Simplify right side
    23,684.42x = 481,773,800.47
  5. Step 5: Solve for x
    x = 481,773,800.47/23,684.42
  6. Step 6: Final answer
    x = 20,341.38

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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.