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Finding the Fourth Proportional to 14,574.31, 21,863.50 and 7,178.83

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Solution

The fourth proportional to 14,574.31, 21,863.50 and 7,178.83 is: 10,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.31 : 21,863.50 = 7,178.83 : x
  2. Step 2: Convert to fraction form
    14,574.31/21,863.50 = 7,178.83/x
  3. Step 3: Cross multiply
    14,574.31x = 21,863.50 × 7,178.83
  4. Step 4: Simplify right side
    14,574.31x = 156,954,277.10
  5. Step 5: Solve for x
    x = 156,954,277.10/14,574.31
  6. Step 6: Final answer
    x = 10,769.24

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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.