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Finding the Fourth Proportional to 13,743, 20,592.90 and 9,574.20

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Solution

The fourth proportional to 13,743, 20,592.90 and 9,574.20 is: 14,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743 : 20,592.90 = 9,574.20 : x
  2. Step 2: Convert to fraction form
    13,743/20,592.90 = 9,574.20/x
  3. Step 3: Cross multiply
    13,743x = 20,592.90 × 9,574.20
  4. Step 4: Simplify right side
    13,743x = 197,160,543.18
  5. Step 5: Solve for x
    x = 197,160,543.18/13,743
  6. Step 6: Final answer
    x = 14,346.25

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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.