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Finding the Fourth Proportional to 13,601.42, 20,385.72 and 7,024.01

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Solution

The fourth proportional to 13,601.42, 20,385.72 and 7,024.01 is: 10,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.42 : 20,385.72 = 7,024.01 : x
  2. Step 2: Convert to fraction form
    13,601.42/20,385.72 = 7,024.01/x
  3. Step 3: Cross multiply
    13,601.42x = 20,385.72 × 7,024.01
  4. Step 4: Simplify right side
    13,601.42x = 143,189,501.14
  5. Step 5: Solve for x
    x = 143,189,501.14/13,601.42
  6. Step 6: Final answer
    x = 10,527.54

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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.