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Finding the Fourth Proportional to 17,342.00, 25,999.10 and 16,364.00

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Solution

The fourth proportional to 17,342.00, 25,999.10 and 16,364.00 is: 24,532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,342.00 : 25,999.10 = 16,364.00 : x
  2. Step 2: Convert to fraction form
    17,342.00/25,999.10 = 16,364.00/x
  3. Step 3: Cross multiply
    17,342.00x = 25,999.10 × 16,364.00
  4. Step 4: Simplify right side
    17,342.00x = 425,449,289.84
  5. Step 5: Solve for x
    x = 425,449,289.84/17,342.00
  6. Step 6: Final answer
    x = 24,532.89

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Why These Related Problems?

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