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Finding the Fourth Proportional to 13,052.92, 19,573 and 4,284.88

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Solution

The fourth proportional to 13,052.92, 19,573 and 4,284.88 is: 6,425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.92 : 19,573 = 4,284.88 : x
  2. Step 2: Convert to fraction form
    13,052.92/19,573 = 4,284.88/x
  3. Step 3: Cross multiply
    13,052.92x = 19,573 × 4,284.88
  4. Step 4: Simplify right side
    13,052.92x = 83,867,956.24
  5. Step 5: Solve for x
    x = 83,867,956.24/13,052.92
  6. Step 6: Final answer
    x = 6,425.23

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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.