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Finding the Fourth Proportional to 23,684.84, 32,684.16 and 13,074.38

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Solution

The fourth proportional to 23,684.84, 32,684.16 and 13,074.38 is: 18,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.84 : 32,684.16 = 13,074.38 : x
  2. Step 2: Convert to fraction form
    23,684.84/32,684.16 = 13,074.38/x
  3. Step 3: Cross multiply
    23,684.84x = 32,684.16 × 13,074.38
  4. Step 4: Simplify right side
    23,684.84x = 427,325,127.82
  5. Step 5: Solve for x
    x = 427,325,127.82/23,684.84
  6. Step 6: Final answer
    x = 18,042.14

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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.