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Finding the Fourth Proportional to 26,446.62, 36,492.48 and 15,834

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Solution

The fourth proportional to 26,446.62, 36,492.48 and 15,834 is: 21,848.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,446.62 : 36,492.48 = 15,834 : x
  2. Step 2: Convert to fraction form
    26,446.62/36,492.48 = 15,834/x
  3. Step 3: Cross multiply
    26,446.62x = 36,492.48 × 15,834
  4. Step 4: Simplify right side
    26,446.62x = 577,821,928.32
  5. Step 5: Solve for x
    x = 577,821,928.32/26,446.62
  6. Step 6: Final answer
    x = 21,848.61

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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.