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Finding the Fourth Proportional to 26,231.16, 39,302.98 and 18,426

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Solution

The fourth proportional to 26,231.16, 39,302.98 and 18,426 is: 27,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,231.16 : 39,302.98 = 18,426 : x
  2. Step 2: Convert to fraction form
    26,231.16/39,302.98 = 18,426/x
  3. Step 3: Cross multiply
    26,231.16x = 39,302.98 × 18,426
  4. Step 4: Simplify right side
    26,231.16x = 724,196,709.48
  5. Step 5: Solve for x
    x = 724,196,709.48/26,231.16
  6. Step 6: Final answer
    x = 27,608.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.