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Finding the Fourth Proportional to 13,735.12, 20,598.63 and 7,157.92

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Solution

The fourth proportional to 13,735.12, 20,598.63 and 7,157.92 is: 10,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.12 : 20,598.63 = 7,157.92 : x
  2. Step 2: Convert to fraction form
    13,735.12/20,598.63 = 7,157.92/x
  3. Step 3: Cross multiply
    13,735.12x = 20,598.63 × 7,157.92
  4. Step 4: Simplify right side
    13,735.12x = 147,443,345.65
  5. Step 5: Solve for x
    x = 147,443,345.65/13,735.12
  6. Step 6: Final answer
    x = 10,734.77

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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.