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Finding the Fourth Proportional to 14,707.36, 20,296.20 and 8,419.78

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Solution

The fourth proportional to 14,707.36, 20,296.20 and 8,419.78 is: 11,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707.36 : 20,296.20 = 8,419.78 : x
  2. Step 2: Convert to fraction form
    14,707.36/20,296.20 = 8,419.78/x
  3. Step 3: Cross multiply
    14,707.36x = 20,296.20 × 8,419.78
  4. Step 4: Simplify right side
    14,707.36x = 170,889,538.84
  5. Step 5: Solve for x
    x = 170,889,538.84/14,707.36
  6. Step 6: Final answer
    x = 11,619.32

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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.