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Finding the Fourth Proportional to 16,312.39, 24,471.72 and 6,952.23

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Solution

The fourth proportional to 16,312.39, 24,471.72 and 6,952.23 is: 10,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.39 : 24,471.72 = 6,952.23 : x
  2. Step 2: Convert to fraction form
    16,312.39/24,471.72 = 6,952.23/x
  3. Step 3: Cross multiply
    16,312.39x = 24,471.72 × 6,952.23
  4. Step 4: Simplify right side
    16,312.39x = 170,133,025.94
  5. Step 5: Solve for x
    x = 170,133,025.94/16,312.39
  6. Step 6: Final answer
    x = 10,429.68

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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.