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Finding the Fourth Proportional to 14,716.13, 20,308.46 and 8,428.50

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Solution

The fourth proportional to 14,716.13, 20,308.46 and 8,428.50 is: 11,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.13 : 20,308.46 = 8,428.50 : x
  2. Step 2: Convert to fraction form
    14,716.13/20,308.46 = 8,428.50/x
  3. Step 3: Cross multiply
    14,716.13x = 20,308.46 × 8,428.50
  4. Step 4: Simplify right side
    14,716.13x = 171,169,812.97
  5. Step 5: Solve for x
    x = 171,169,812.97/14,716.13
  6. Step 6: Final answer
    x = 11,631.45

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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.