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Finding the Fourth Proportional to 16,382.40, 22,607.70 and 8,930.40

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Solution

The fourth proportional to 16,382.40, 22,607.70 and 8,930.40 is: 12,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.40 : 22,607.70 = 8,930.40 : x
  2. Step 2: Convert to fraction form
    16,382.40/22,607.70 = 8,930.40/x
  3. Step 3: Cross multiply
    16,382.40x = 22,607.70 × 8,930.40
  4. Step 4: Simplify right side
    16,382.40x = 201,895,804.08
  5. Step 5: Solve for x
    x = 201,895,804.08/16,382.40
  6. Step 6: Final answer
    x = 12,323.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.