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Finding the Fourth Proportional to 23,502.36, 32,433.04 and 12,892

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Solution

The fourth proportional to 23,502.36, 32,433.04 and 12,892 is: 17,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.36 : 32,433.04 = 12,892 : x
  2. Step 2: Convert to fraction form
    23,502.36/32,433.04 = 12,892/x
  3. Step 3: Cross multiply
    23,502.36x = 32,433.04 × 12,892
  4. Step 4: Simplify right side
    23,502.36x = 418,126,751.68
  5. Step 5: Solve for x
    x = 418,126,751.68/23,502.36
  6. Step 6: Final answer
    x = 17,790.84

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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.