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Finding the Fourth Proportional to 14,270.28, 19,697.50 and 9,800.30

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Solution

The fourth proportional to 14,270.28, 19,697.50 and 9,800.30 is: 13,527.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.28 : 19,697.50 = 9,800.30 : x
  2. Step 2: Convert to fraction form
    14,270.28/19,697.50 = 9,800.30/x
  3. Step 3: Cross multiply
    14,270.28x = 19,697.50 × 9,800.30
  4. Step 4: Simplify right side
    14,270.28x = 193,041,409.25
  5. Step 5: Solve for x
    x = 193,041,409.25/14,270.28
  6. Step 6: Final answer
    x = 13,527.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.