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Finding the Fourth Proportional to 14,283.38, 21,426.51 and 4,922.17

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Solution

The fourth proportional to 14,283.38, 21,426.51 and 4,922.17 is: 7,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.38 : 21,426.51 = 4,922.17 : x
  2. Step 2: Convert to fraction form
    14,283.38/21,426.51 = 4,922.17/x
  3. Step 3: Cross multiply
    14,283.38x = 21,426.51 × 4,922.17
  4. Step 4: Simplify right side
    14,283.38x = 105,464,817.59
  5. Step 5: Solve for x
    x = 105,464,817.59/14,283.38
  6. Step 6: Final answer
    x = 7,383.74

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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.