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Finding the Fourth Proportional to 14,187.68, 21,283.81 and 4,828.53

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Solution

The fourth proportional to 14,187.68, 21,283.81 and 4,828.53 is: 7,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187.68 : 21,283.81 = 4,828.53 : x
  2. Step 2: Convert to fraction form
    14,187.68/21,283.81 = 4,828.53/x
  3. Step 3: Cross multiply
    14,187.68x = 21,283.81 × 4,828.53
  4. Step 4: Simplify right side
    14,187.68x = 102,769,503.03
  5. Step 5: Solve for x
    x = 102,769,503.03/14,187.68
  6. Step 6: Final answer
    x = 7,243.58

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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.