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Finding the Fourth Proportional to 14,292.80, 21,433.17 and 5,406.62

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Solution

The fourth proportional to 14,292.80, 21,433.17 and 5,406.62 is: 8,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292.80 : 21,433.17 = 5,406.62 : x
  2. Step 2: Convert to fraction form
    14,292.80/21,433.17 = 5,406.62/x
  3. Step 3: Cross multiply
    14,292.80x = 21,433.17 × 5,406.62
  4. Step 4: Simplify right side
    14,292.80x = 115,881,005.59
  5. Step 5: Solve for x
    x = 115,881,005.59/14,292.80
  6. Step 6: Final answer
    x = 8,107.65

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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.