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Finding the Fourth Proportional to 13,370.24, 20,056 and 5,049.60

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Solution

The fourth proportional to 13,370.24, 20,056 and 5,049.60 is: 7,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,370.24 : 20,056 = 5,049.60 : x
  2. Step 2: Convert to fraction form
    13,370.24/20,056 = 5,049.60/x
  3. Step 3: Cross multiply
    13,370.24x = 20,056 × 5,049.60
  4. Step 4: Simplify right side
    13,370.24x = 101,274,777.60
  5. Step 5: Solve for x
    x = 101,274,777.60/13,370.24
  6. Step 6: Final answer
    x = 7,574.64

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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.