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Finding the Fourth Proportional to 17,000.64, 23,441.76 and 13,924.80

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Solution

The fourth proportional to 17,000.64, 23,441.76 and 13,924.80 is: 19,200.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.64 : 23,441.76 = 13,924.80 : x
  2. Step 2: Convert to fraction form
    17,000.64/23,441.76 = 13,924.80/x
  3. Step 3: Cross multiply
    17,000.64x = 23,441.76 × 13,924.80
  4. Step 4: Simplify right side
    17,000.64x = 326,421,819.65
  5. Step 5: Solve for x
    x = 326,421,819.65/17,000.64
  6. Step 6: Final answer
    x = 19,200.56

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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.