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Finding the Fourth Proportional to 25,838.34, 38,767.16 and 17,596.09

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Solution

The fourth proportional to 25,838.34, 38,767.16 and 17,596.09 is: 26,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838.34 : 38,767.16 = 17,596.09 : x
  2. Step 2: Convert to fraction form
    25,838.34/38,767.16 = 17,596.09/x
  3. Step 3: Cross multiply
    25,838.34x = 38,767.16 × 17,596.09
  4. Step 4: Simplify right side
    25,838.34x = 682,150,211.81
  5. Step 5: Solve for x
    x = 682,150,211.81/25,838.34
  6. Step 6: Final answer
    x = 26,400.70

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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.