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Finding the Fourth Proportional to 13,634.40, 20,434.16 and 7,047.84

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Solution

The fourth proportional to 13,634.40, 20,434.16 and 7,047.84 is: 10,562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.40 : 20,434.16 = 7,047.84 : x
  2. Step 2: Convert to fraction form
    13,634.40/20,434.16 = 7,047.84/x
  3. Step 3: Cross multiply
    13,634.40x = 20,434.16 × 7,047.84
  4. Step 4: Simplify right side
    13,634.40x = 144,016,690.21
  5. Step 5: Solve for x
    x = 144,016,690.21/13,634.40
  6. Step 6: Final answer
    x = 10,562.74

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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.