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Finding the Fourth Proportional to 23,034, 31,786.92 and 13,602.72

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Solution

The fourth proportional to 23,034, 31,786.92 and 13,602.72 is: 18,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,034 : 31,786.92 = 13,602.72 : x
  2. Step 2: Convert to fraction form
    23,034/31,786.92 = 13,602.72/x
  3. Step 3: Cross multiply
    23,034x = 31,786.92 × 13,602.72
  4. Step 4: Simplify right side
    23,034x = 432,388,572.42
  5. Step 5: Solve for x
    x = 432,388,572.42/23,034
  6. Step 6: Final answer
    x = 18,771.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.