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Finding the Fourth Proportional to 17,846.96, 26,782.54 and 9,532.94

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Solution

The fourth proportional to 17,846.96, 26,782.54 and 9,532.94 is: 14,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.96 : 26,782.54 = 9,532.94 : x
  2. Step 2: Convert to fraction form
    17,846.96/26,782.54 = 9,532.94/x
  3. Step 3: Cross multiply
    17,846.96x = 26,782.54 × 9,532.94
  4. Step 4: Simplify right side
    17,846.96x = 255,316,346.87
  5. Step 5: Solve for x
    x = 255,316,346.87/17,846.96
  6. Step 6: Final answer
    x = 14,305.88

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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.