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Finding the Fourth Proportional to 23,694.27, 32,697.47 and 13,083.68

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Solution

The fourth proportional to 23,694.27, 32,697.47 and 13,083.68 is: 18,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.27 : 32,697.47 = 13,083.68 : x
  2. Step 2: Convert to fraction form
    23,694.27/32,697.47 = 13,083.68/x
  3. Step 3: Cross multiply
    23,694.27x = 32,697.47 × 13,083.68
  4. Step 4: Simplify right side
    23,694.27x = 427,803,005.38
  5. Step 5: Solve for x
    x = 427,803,005.38/23,694.27
  6. Step 6: Final answer
    x = 18,055.12

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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.