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Finding the Fourth Proportional to 13,825.40, 20,738.10 and 9,670.10

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Solution

The fourth proportional to 13,825.40, 20,738.10 and 9,670.10 is: 14,505.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.40 : 20,738.10 = 9,670.10 : x
  2. Step 2: Convert to fraction form
    13,825.40/20,738.10 = 9,670.10/x
  3. Step 3: Cross multiply
    13,825.40x = 20,738.10 × 9,670.10
  4. Step 4: Simplify right side
    13,825.40x = 200,539,500.81
  5. Step 5: Solve for x
    x = 200,539,500.81/13,825.40
  6. Step 6: Final answer
    x = 14,505.15

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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.