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Finding the Fourth Proportional to 13,742.30, 20,592.02 and 10,630.02

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Solution

The fourth proportional to 13,742.30, 20,592.02 and 10,630.02 is: 15,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.30 : 20,592.02 = 10,630.02 : x
  2. Step 2: Convert to fraction form
    13,742.30/20,592.02 = 10,630.02/x
  3. Step 3: Cross multiply
    13,742.30x = 20,592.02 × 10,630.02
  4. Step 4: Simplify right side
    13,742.30x = 218,893,584.44
  5. Step 5: Solve for x
    x = 218,893,584.44/13,742.30
  6. Step 6: Final answer
    x = 15,928.45

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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.